{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import io as sio\n",
    "import pickle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PHCv2.4.86 released 2022-05-30 works!\n"
     ]
    }
   ],
   "source": [
    "import c_solver_2D as csolver"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using matplotlib backend: QtAgg\n"
     ]
    }
   ],
   "source": [
    "%matplotlib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plot all the points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open(\"data/bug_params_theta%.6fpi.pkl\"%(1e-3), \"rb\") as fp:\n",
    "    bug_params = pickle.load(fp)\n",
    "\n",
    "with open(\"data/bug_points_theta%.6fpi.pkl\"%(1e-3), \"rb\") as fp:\n",
    "    bug_points = pickle.load(fp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "       -0.41911321+0.91307509j, -0.41680883+0.90387789j]), array([-4.93509566-0.58753329j, -0.99810333+0.06156091j,\n",
      "       -0.42026928+0.91770303j, -0.41565683+0.89931717j]), array([-4.93500537-0.58686467j, -0.99573418+0.09226836j,\n",
      "       -0.42143047+0.92234471j, -0.4145026 +0.8947873j ]), array([-4.93487876-0.58592875j, -0.99242051+0.12288829j,\n",
      "       -0.42259872+0.92699564j, -0.41334445+0.89029236j]), array([-4.93471565-0.58472566j, -0.98816547+0.15339165j,\n",
      "       -0.42377599+0.93165128j, -0.41218075+0.88583639j]), array([-4.93451581-0.5832556j , -0.9829731 +0.18374952j,\n",
      "       -0.42496424+0.93630696j, -0.41100998+0.88142337j]), array([-4.93427895-0.58151878j, -0.97684832+0.21393308j,\n",
      "       -0.42616543+0.94095796j, -0.40983069+0.87705722j]), array([-4.93400477-0.57951543j, -0.96979694+0.24391372j,\n",
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      "       -0.4286144 +0.95022643j, -0.40744131+0.86848091j]), array([-4.93334306-0.57471024j, -0.952942  +0.30315267j,\n",
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      "       -0.43113805+0.95941678j, -0.40500315+0.86013773j]), array([-4.93252776-0.56884239j, -0.93247223+0.36124167j,\n",
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      "       -0.43375062+0.96848745j, -0.40250866+0.85205718j]), array([-4.93155604-0.56191435j, -0.90846527+0.41796035j,\n",
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      "       -0.43646499+0.97739519j, -0.39995234+0.84426801j]), array([-4.93042551-0.55392858j, -0.88101219+0.47309356j,\n",
      "       -0.43786385+0.98177399j, -0.39864988+0.84049147j]), array([-4.92980022-0.54953977j, -0.8660254 +0.5j       ,\n",
      "       -0.43929209+0.9860951j , -0.39733092+0.83679823j]), array([-4.92913484-0.54488737j, -0.85021714+0.52643216j,\n",
      "       -0.4407507 +0.99035266j, -0.39599542+0.83319164j]), array([-4.92842946-0.53997163j, -0.83360238+0.55236497j,\n",
      "       -0.44224046+0.99454071j, -0.39464351+0.82967506j]), array([-4.92768432-0.53479277j, -0.81619691+0.57777383j,\n",
      "       -0.44376196+0.99865325j, -0.39327547+0.82625175j]), array([-4.92689984-0.52935101j, -0.79801723+0.60263464j,\n",
      "       -0.44531557+1.00268417j, -0.39189173+0.82292492j]), array([-4.92607663-0.52364656j, -0.77908057+0.62692381j,\n",
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      "       -0.44851933+1.01047649j, -0.38907981+0.8165733j ]), array([-4.92431761-0.51145038j, -0.73900892+0.67369564j,\n",
      "       -0.45016892+1.01422546j, -0.38765337+0.81355461j]), array([-4.92338426-0.50495909j, -0.71791192+0.69613395j,\n",
      "       -0.45184946+1.01786797j, -0.38621471+0.81064463j]), array([-4.92241715-0.49820603j, -0.69613395+0.71791192j,\n",
      "       -0.45355991+1.02139779j, -0.38476513+0.80784622j]), array([-4.92141829-0.49119151j, -0.67369564+0.73900892j,\n",
      "       -0.45529894+1.02480869j, -0.38330612+0.80516215j]), array([-4.92039007-0.48391595j, -0.6506183 +0.75940492j,\n",
      "       -0.45706482+1.02809453j, -0.38183933+0.8025951j ]), array([-4.91933525-0.47637989j, -0.62692381+0.77908057j,\n",
      "       -0.45885553+1.03124919j, -0.38036659+0.80014765j]), array([-4.918257  -0.46858398j, -0.60263464+0.79801723j,\n",
      "       -0.46066865+1.0342667j , -0.3788899 +0.79782226j]), array([-4.91715895-0.4605291j , -0.57777383+0.81619691j,\n",
      "       -0.46250139+1.03714121j, -0.37741145+0.79562129j]), array([-4.91604515-0.45221633j, -0.55236497+0.83360239j,\n",
      "       -0.46435061+1.03986702j, -0.37593357+0.79354693j]), array([-4.91492015-0.44364704j, -0.52643216+0.85021714j,\n",
      "       -0.46621276+1.04243866j, -0.37445878+0.79160126j]), array([-4.91378894-0.43482291j, -0.5       +0.8660254j ,\n",
      "       -0.46808394+1.04485087j, -0.37298976+0.78978622j]), array([-4.91265702-0.42574603j, -0.47309356+0.88101219j,\n",
      "       -0.46995986+1.04709867j, -0.37152934+0.78810355j]), array([-4.91153035-0.41641888j, -0.44573836+0.89516329j,\n",
      "       -0.47183589+1.04917739j, -0.37008051+0.78655485j]), array([-4.91041534-0.4068445j , -0.41796034+0.90846527j,\n",
      "       -0.47370703+1.0510827j , -0.3686464 +0.78514154j]), array([-4.90931888-0.39702645j, -0.38978587+0.92090552j,\n",
      "       -0.47556796+1.05281067j, -0.36723025+0.78386482j]), array([-4.90824825-0.38696893j, -0.36124167+0.93247223j,\n",
      "       -0.47741304+1.05435776j, -0.36583546+0.78272571j]), array([-4.90721112-0.37667683j, -0.3323548 +0.94315443j,\n",
      "       -0.47923636+1.05572091j, -0.36446552+0.781725j  ]), array([-4.9062155 -0.36615578j, -0.30315267+0.952942j  ,\n",
      "       -0.48103177+1.05689754j, -0.36312401+0.78086328j]), array([-4.90526968-0.35541222j, -0.27366299+0.96182564j,\n",
      "       -0.48279287+1.0578856j , -0.36181461+0.78014089j]), array([-4.90438216-0.34445345j, -0.24391372+0.96979694j,\n",
      "       -0.48451311+1.05868358j, -0.36054105+0.77955791j]), array([-4.90356159-0.33328767j, -0.21393308+0.97684832j,\n",
      "       -0.48618582+1.05929054j, -0.35930712+0.77911422j]), array([-4.90281666-0.32192402j, -0.18374952+0.9829731j ,\n",
      "       -0.48780423+1.05970614j, -0.35811663+0.7788094j ]), array([-4.90215606-0.31037262j, -0.15339165+0.98816547j,\n",
      "       -0.48936156+1.05993064j, -0.35697341+0.77864281j]), array([-4.9015883 -0.29864457j, -0.12288829+0.99242051j,\n",
      "       -0.49085104+1.0599649j , -0.35588128+0.77861351j]), array([-4.90112172-0.28675195j, -0.09226836+0.99573418j,\n",
      "       -0.49226598+1.05981042j, -0.35484401+0.77872035j]), array([-4.90076427-0.27470784j, -0.06156091+0.99810333j,\n",
      "       -0.49359985+1.05946929j, -0.35386534+0.77896187j]), array([-4.90052349-0.26252628j, -0.03079506+0.99952572j,\n",
      "       -0.49484629+1.05894421j, -0.3529489 +0.77933639j]), array([4.93514979+0.58793451j, 0.99952572-0.03079506j,\n",
      "       0.41911321-0.91307509j, 0.41680883-0.90387789j]), array([4.93509566+0.58753329j, 0.99810333-0.06156091j,\n",
      "       0.42026928-0.91770303j, 0.41565683-0.89931717j]), array([4.93500537+0.58686467j, 0.99573418-0.09226836j,\n",
      "       0.42143047-0.92234471j, 0.4145026 -0.8947873j ]), array([4.93487876+0.58592875j, 0.99242051-0.12288829j,\n",
      "       0.42259872-0.92699564j, 0.41334445-0.89029236j]), array([4.93471565+0.58472566j, 0.98816547-0.15339165j,\n",
      "       0.42377599-0.93165128j, 0.41218075-0.88583639j]), array([4.93451581+0.5832556j , 0.9829731 -0.18374952j,\n",
      "       0.42496424-0.93630696j, 0.41100998-0.88142337j]), array([4.93427895+0.58151878j, 0.97684832-0.21393308j,\n",
      "       0.42616543-0.94095796j, 0.40983069-0.87705722j]), array([4.93400477+0.57951543j, 0.96979694-0.24391372j,\n",
      "       0.42738151-0.94559943j, 0.40864155-0.8727418j ]), array([4.93369293+0.57724582j, 0.96182564-0.27366299j,\n",
      "       0.4286144 -0.95022643j, 0.40744131-0.86848091j]), array([4.93334306+0.57471024j, 0.952942  -0.30315267j,\n",
      "       0.42986597-0.95483393j, 0.40622884-0.86427831j]), array([4.93295479+0.571909j  , 0.94315443-0.3323548j ,\n",
      "       0.43113805-0.95941678j, 0.40500315-0.86013773j]), array([4.93252776+0.56884239j, 0.93247223-0.36124167j,\n",
      "       0.43243238-0.96396974j, 0.40376334-0.85606281j]), array([4.93206162+0.56551074j, 0.92090552-0.38978587j,\n",
      "       0.43375062-0.96848745j, 0.40250866-0.85205718j]), array([4.93155604+0.56191435j, 0.90846527-0.41796035j,\n",
      "       0.43509435-0.97296445j, 0.40123849-0.8481244j ]), array([4.93101074+0.55805353j, 0.89516329-0.44573836j,\n",
      "       0.43646499-0.97739519j, 0.39995234-0.84426801j]), array([4.93042551+0.55392858j, 0.88101219-0.47309356j,\n",
      "       0.43786385-0.98177399j, 0.39864988-0.84049147j]), array([4.92980022+0.54953977j, 0.8660254 -0.5j       ,\n",
      "       0.43929209-0.9860951j , 0.39733092-0.83679823j]), array([4.92913484+0.54488737j, 0.85021714-0.52643216j,\n",
      "       0.4407507 -0.99035266j, 0.39599542-0.83319164j]), array([4.92842946+0.53997163j, 0.83360238-0.55236497j,\n",
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      "       0.44376196-0.99865325j, 0.39327547-0.82625175j]), array([4.92689984+0.52935101j, 0.79801723-0.60263464j,\n",
      "       0.44531557-1.00268417j, 0.39189173-0.82292492j]), array([4.92607663+0.52364656j, 0.77908057-0.62692381j,\n",
      "       0.44690141-1.00662732j, 0.39049292-0.81969774j]), array([4.92521552+0.51767961j, 0.75940492-0.6506183j ,\n",
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      "       0.45184946-1.01786797j, 0.38621471-0.81064463j]), array([4.92241715+0.49820603j, 0.69613395-0.71791192j,\n",
      "       0.45355991-1.02139779j, 0.38476513-0.80784622j]), array([4.92141829+0.49119151j, 0.67369564-0.73900892j,\n",
      "       0.45529894-1.02480869j, 0.38330612-0.80516215j]), array([4.92039007+0.48391595j, 0.6506183 -0.75940492j,\n",
      "       0.45706482-1.02809453j, 0.38183933-0.8025951j ]), array([4.91933525+0.47637989j, 0.62692381-0.77908057j,\n",
      "       0.45885553-1.03124919j, 0.38036659-0.80014765j]), array([4.918257  +0.46858398j, 0.60263464-0.79801723j,\n",
      "       0.46066865-1.0342667j , 0.3788899 -0.79782226j]), array([4.91715895+0.4605291j , 0.57777383-0.81619691j,\n",
      "       0.46250139-1.03714121j, 0.37741145-0.79562129j]), array([4.91604515+0.45221633j, 0.55236497-0.83360239j,\n",
      "       0.46435061-1.03986702j, 0.37593357-0.79354693j]), array([4.91492015+0.44364704j, 0.52643216-0.85021714j,\n",
      "       0.46621276-1.04243866j, 0.37445878-0.79160126j]), array([4.91378894+0.43482291j, 0.5       -0.8660254j ,\n",
      "       0.46808394-1.04485087j, 0.37298976-0.78978622j]), array([4.91265702+0.42574603j, 0.47309356-0.88101219j,\n",
      "       0.46995986-1.04709867j, 0.37152934-0.78810355j]), array([4.91153035+0.41641888j, 0.44573836-0.89516329j,\n",
      "       0.47183589-1.04917739j, 0.37008051-0.78655485j]), array([4.91041534+0.4068445j , 0.41796034-0.90846527j,\n",
      "       0.47370703-1.0510827j , 0.3686464 -0.78514154j]), array([4.90931888+0.39702645j, 0.38978587-0.92090552j,\n",
      "       0.47556796-1.05281067j, 0.36723025-0.78386482j]), array([4.90824825+0.38696893j, 0.36124167-0.93247223j,\n",
      "       0.47741304-1.05435776j, 0.36583546-0.78272571j]), array([4.90721112+0.37667683j, 0.3323548 -0.94315443j,\n",
      "       0.47923636-1.05572091j, 0.36446552-0.781725j  ]), array([4.9062155 +0.36615578j, 0.30315267-0.952942j  ,\n",
      "       0.48103177-1.05689754j, 0.36312401-0.78086328j]), array([4.90526968+0.35541222j, 0.27366299-0.96182564j,\n",
      "       0.48279287-1.0578856j , 0.36181461-0.78014089j]), array([4.90438216+0.34445345j, 0.24391372-0.96979694j,\n",
      "       0.48451311-1.05868358j, 0.36054105-0.77955791j]), array([4.90356159+0.33328767j, 0.21393308-0.97684832j,\n",
      "       0.48618582-1.05929054j, 0.35930712-0.77911422j]), array([4.90281666+0.32192402j, 0.18374952-0.9829731j ,\n",
      "       0.48780423-1.05970614j, 0.35811663-0.7788094j ]), array([4.90215606+0.31037262j, 0.15339165-0.98816547j,\n",
      "       0.48936156-1.05993064j, 0.35697341-0.77864281j]), array([4.9015883 +0.29864457j, 0.12288829-0.99242051j,\n",
      "       0.49085104-1.0599649j , 0.35588128-0.77861351j]), array([4.90112172+0.28675195j, 0.09226836-0.99573418j,\n",
      "       0.49226598-1.05981042j, 0.35484401-0.77872035j]), array([4.90076427+0.27470784j, 0.06156091-0.99810333j,\n",
      "       0.49359985-1.05946929j, 0.35386534-0.77896187j]), array([4.90052349+0.26252628j, 0.03079506-0.99952572j,\n",
      "       0.49484629-1.05894421j, 0.3529489 -0.77933639j]), array([-1.93188544+0.02536323j,  0.01199792+0.0163603j ,\n",
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      "        0.34540145+0.06686628j,  0.33963164+0.09300476j]), array([-1.92996148+0.02443602j,  0.0134877 +0.01517738j,\n",
      "        0.34616126+0.06240246j,  0.33847774+0.09724293j]), array([-1.92880788+0.02388133j,  0.0139674 +0.01475056j,\n",
      "        0.34686084+0.05791127j,  0.33727177+0.10144445j]), array([-1.9273987 +0.02320502j,  0.01443771+0.0143075j ,\n",
      "        0.34749929+0.05339405j,  0.33601486+0.10560835j]), array([-1.92573442+0.02240809j,  0.01489803+0.01384823j,\n",
      "        0.34807575+0.04885214j,  0.33470814+0.10973366j]), array([-1.92381559+0.02149171j,  0.01534774+0.01337281j,\n",
      "        0.34858939+0.04428694j,  0.33335276+0.1138195j ]), array([-1.92164284+0.02045723j,  0.01578623+0.01288131j,\n",
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      "       -0.22321063-0.26280396j, -0.28515717+0.18555442j]), array([ 1.52220452+0.11120845j,  0.01914309-0.01374805j,\n",
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      "       -0.43933905+0.71707206j, -0.36581157+1.13145338j]), array([ 1.69840726-0.3178561j , -0.77908057+0.62692381j,\n",
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      "       -0.45100999+0.64940411j, -0.31949115+1.22375572j]), array([ 1.7971822 -0.49888429j, -0.30315267+0.952942j  ,\n",
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      "       -0.4522503 +0.64709813j, -0.31634499+1.22653022j]), array([ 1.80183848-0.52222011j, -0.24391372+0.96979694j,\n",
      "       -0.45286965+0.64625205j, -0.31493725+1.2274527j ]), array([ 1.80369025-0.53405156j, -0.21393308+0.97684832j,\n",
      "       -0.45348735+0.64560753j, -0.3136433 +1.22807052j]), array([ 1.80522381-0.54597397j, -0.18374952+0.9829731j ,\n",
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      "       -0.45471387+0.64491502j, -0.31140626+1.22840842j]), array([ 1.80733905-0.57003774j, -0.12288829+0.99242051j,\n",
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      "       -0.45592094+0.6450059j , -0.30965094+1.22757737j]), array([ 1.80819718-0.59430397j, -0.06156091+0.99810333j,\n",
      "       -0.45651397+0.64534114j, -0.3089584 +1.22673432j]), array([ 1.80816202-0.60647975j, -0.03079506+0.99952572j,\n",
      "       -0.45709806+0.64586774j, -0.30839128+1.22561217j]), array([ 4.98355865-0.17144966j, -0.99952572+0.03079506j,\n",
      "        0.41513277-0.9050565j ,  0.420804  -0.91188543j]), array([ 4.98332204-0.17087124j, -0.99810333+0.06156091j,\n",
      "        0.41232471-0.90165975j,  0.42366023-0.91531632j]), array([ 4.98292854-0.16990744j, -0.99573418+0.09226836j,\n",
      "        0.40953955-0.8982757j ,  0.42652548-0.91875729j]), array([ 4.98237943-0.16855857j, -0.99242051+0.12288829j,\n",
      "        0.40678059-0.89490502j,  0.4293961 -0.92220769j]), array([ 4.98167652-0.16682511j, -0.98816547+0.15339165j,\n",
      "        0.40405109-0.89154843j,  0.4322684 -0.92566685j]), array([ 4.98082212-0.16470768j, -0.9829731 +0.18374952j,\n",
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      "       -0.3686907 +0.84351055j, -0.47282141+0.97798796j]), array([-4.95294522+0.08790359j,  0.79801723-0.60263464j,\n",
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      "       -0.36504733+0.83755921j, -0.47742791+0.98488808j]), array([-4.94779746+0.07157557j,  0.75940492-0.6506183j ,\n",
      "       -0.36334238+0.8346385j , -0.47961939+0.98831332j]), array([-4.94517809+0.06291732j,  0.73900892-0.67369564j,\n",
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      "       -0.3573486 +0.82337466j, -0.48753209+1.00177628j]), array([-4.93464957+0.02517125j,  0.6506183 -0.75940492j,\n",
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      "       -0.35487276+0.81802956j, -0.49091372+1.00831345j]), array([-4.92951043+0.00456192j,  0.60263464-0.79801723j,\n",
      "       -0.35377061+0.81543844j, -0.49244593+1.01151866j]), array([-4.92701122-0.00613858j,  0.57777383-0.81619691j,\n",
      "       -0.35276069+0.81290562j, -0.49386714+1.01467525j]), array([-4.92457354-0.01708628j,  0.55236497-0.83360239j,\n",
      "       -0.3518441 +0.81043427j, -0.49517367+1.01777808j]), array([-4.92220802-0.02826766j,  0.52643216-0.85021714j,\n",
      "       -0.35102174+0.80802766j, -0.49636209+1.02082172j]), array([-4.91992496-0.0396684j ,  0.5       -0.8660254j ,\n",
      "       -0.35029437+0.80568916j, -0.49742926+1.02380051j]), array([-4.91773424-0.05127339j,  0.47309356-0.88101219j,\n",
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      "       -0.34912651+0.80123043j, -0.49918895+1.02953953j]), array([-4.91366659-0.07503198j,  0.41796034-0.90846527j,\n",
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      "       -0.34834228+0.79708666j, -0.50043469+1.034945j  ]), array([-4.91007205-0.09940829j,  0.36124167-0.93247223j,\n",
      "       -0.3480936 +0.79514208j, -0.500861  +1.03750616j]), array([-4.90846982-0.11178318j,  0.3323548 -0.94315443j,\n",
      "       -0.34793985+0.79328733j, -0.50115517+1.03996386j]), array([-4.90700526-0.12425763j,  0.30315267-0.952942j  ,\n",
      "       -0.34788018+0.79152614j, -0.501317  +1.04231119j]), array([-4.90568292-0.13681244j,  0.27366299-0.96182564j,\n",
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      "       -0.34803854+0.78829927j, -0.50124546+1.04664697j]), array([-4.90347781-0.16208533j,  0.21393308-0.97684832j,\n",
      "       -0.34825364+0.78684088j, -0.50101439+1.04862166j]), array([-4.90259886-0.17476422j,  0.18374952-0.9829731j ,\n",
      "       -0.348557  +0.7854906j , -0.50065557+1.05045853j]), array([-4.90186971-0.18744536j,  0.15339165-0.98816547j,\n",
      "       -0.34894652+0.78425188j, -0.50017155+1.05215103j]), array([-4.90128955-0.20010942j,  0.12288829-0.99242051j,\n",
      "       -0.34941991+0.78312801j, -0.4995654 +1.05369286j]), array([-4.9008565 -0.21273741j,  0.09226836-0.99573418j,\n",
      "       -0.34997462+0.78212218j, -0.49884073+1.05507799j]), array([-4.90056769-0.22531078j,  0.06156091-0.99810333j,\n",
      "       -0.35060791+0.78123738j, -0.49800167+1.05630074j]), array([-4.90041923-0.23781151j,  0.03079506-0.99952572j,\n",
      "       -0.35131683+0.78047644j, -0.49705282+1.05735584j]), array([4.74224394+0.82638704j, 3.63464221+1.90946841j,\n",
      "       0.67560355-0.70336773j, 0.42284652-0.45668955j]), array([4.75607085+0.84208321j, 3.76058264+1.75964913j,\n",
      "       0.68502374-0.71842382j, 0.41700808-0.44864087j]), array([4.77180867+0.85783953j, 3.88411834+1.59888263j,\n",
      "       0.69389015-0.73403637j, 0.4115915 -0.44057058j]), array([4.78950685+0.8734127j , 4.00416958+1.42680888j,\n",
      "       0.70214366-0.75016421j, 0.40659205-0.4324906j ]), array([4.80918603+0.88855684j, 4.11959736+1.24317102j,\n",
      "       0.70973218-0.76675952j, 0.40200188-0.42441308j]), array([-4.74224394-0.82638704j, -3.63464221-1.90946841j,\n",
      "       -0.67560355+0.70336773j, -0.42284652+0.45668955j]), array([-4.75607085-0.84208321j, -3.76058264-1.75964913j,\n",
      "       -0.68502374+0.71842382j, -0.41700808+0.44864087j]), array([-4.77180867-0.85783953j, -3.88411834-1.59888263j,\n",
      "       -0.69389015+0.73403637j, -0.4115915 +0.44057058j]), array([-4.78950685-0.8734127j , -4.00416958-1.42680888j,\n",
      "       -0.70214366+0.75016421j, -0.40659205+0.4324906j ]), array([-4.80918603-0.88855684j, -4.11959736-1.24317102j,\n",
      "       -0.70973218+0.76675952j, -0.40200188+0.42441308j])]\n"
     ]
    }
   ],
   "source": [
    "print(bug_points)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "bug_points_nparray = np.array(bug_points)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f2e1ea31400>]"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.gca()\n",
    "plt.plot(bug_points_nparray[:,0].real, bug_points_nparray[:,0].imag, '.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 1.59421652-0.24896098j -0.99573418+0.09226836j -0.42261053+0.87425499j\n",
      " -0.41250032+0.94359802j] 0\n",
      "[ 1.59631446-0.24983243j -0.99242051+0.12288829j -0.42399394+0.86318828j\n",
      " -0.4104937 +0.95537111j] 1\n",
      "[ 1.5989784 -0.25096427j -0.98816547+0.15339165j -0.42530055+0.85233086j\n",
      " -0.40839429+0.96712281j] 2\n",
      "[ 1.6021844 -0.25236434j -0.9829731 +0.18374952j -0.42653474+0.84170379j\n",
      " -0.40620378+0.97882216j] 3\n",
      "[ 1.60590435-0.25404146j -0.97684832+0.21393308j -0.42770108+0.83132564j\n",
      " -0.40392483+0.99043906j] 4\n",
      "[ 1.6101066 -0.25600508j -0.96979694+0.24391372j -0.42880422+0.82121236j\n",
      " -0.40156096+1.00194465j] 5\n",
      "[ 1.61475653-0.25826494j -0.96182564+0.27366299j -0.42984883+0.81137739j\n",
      " -0.39911654+1.01331154j] 6\n",
      "[ 1.61981729-0.26083068j -0.952942  +0.30315267j -0.43083951+0.80183168j\n",
      " -0.39659668+1.02451405j] 7\n",
      "[ 1.62525033-0.26371154j -0.94315443+0.3323548j  -0.43178077+0.7925838j\n",
      " -0.39400715+1.03552836j] 8\n",
      "[ 1.63101606-0.26691611j -0.93247223+0.36124167j -0.43267696+0.78364019j\n",
      " -0.39135425+1.04633259j] 9\n",
      "[ 1.63707435-0.27045207j -0.92090552+0.38978587j -0.43353226+0.77500524j\n",
      " -0.38864474+1.05690684j] 10\n",
      "[ 1.64338507-0.27432602j -0.90846527+0.41796034j -0.43435068+0.76668157j\n",
      " -0.3858857 +1.06723318j] 11\n",
      "[ 1.64990844-0.27854336j -0.89516329+0.44573836j -0.43513602+0.75867025j\n",
      " -0.38308447+1.07729564j] 12\n",
      "[ 1.65660547-0.28310818j -0.88101219+0.47309356j -0.43589184+0.75097094j\n",
      " -0.38024852+1.08708006j] 13\n",
      "[ 1.66343819-0.28802326j -0.8660254 +0.5j        -0.43662154+0.74358215j\n",
      " -0.37738541+1.09657406j] 14\n",
      "[ 1.67036993-0.29329j    -0.85021714+0.52643216j -0.43732827+0.73650143j\n",
      " -0.37450271+1.10576692j] 15\n",
      "[ 1.67736548-0.29890849j -0.83360239+0.55236497j -0.43801498+0.72972553j\n",
      " -0.37160791+1.11464942j] 16\n",
      "[ 1.68439121-0.30487751j -0.81619691+0.57777383j -0.43868439+0.72325053j\n",
      " -0.36870844+1.12321375j] 17\n",
      "[ 1.6914152 -0.31119459j -0.79801723+0.60263464j -0.43933905+0.71707206j\n",
      " -0.36581157+1.13145338j] 18\n",
      "[ 1.69840726-0.3178561j  -0.77908057+0.62692381j -0.43998129+0.71118535j\n",
      " -0.36292442+1.13936297j] 19\n",
      "[ 1.70533897-0.32485728j -0.75940492+0.6506183j  -0.44061323+0.70558538j\n",
      " -0.36005391+1.14693819j] 20\n",
      "[ 1.71218368-0.33219237j -0.73900892+0.67369564j -0.44123683+0.70026695j\n",
      " -0.35720677+1.15417567j] 21\n",
      "[ 1.71891651-0.33985464j -0.71791192+0.69613395j -0.44185384+0.6952248j\n",
      " -0.35438954+1.16107291j] 22\n",
      "[ 1.72551427-0.34783649j -0.69613395+0.71791192j -0.44246584+0.6904536j\n",
      " -0.3516085 +1.16762813j] 23\n",
      "[ 1.73195547-0.35612953j -0.67369564+0.73900892j -0.44307423+0.6859481j\n",
      " -0.34886976+1.17384026j] 24\n",
      "[ 1.73822024-0.36472464j -0.6506183 +0.75940492j -0.44368025+0.6817031j\n",
      " -0.34617917+1.17970882j] 25\n",
      "[ 1.7442903 -0.37361208j -0.62692381+0.77908057j -0.44428497+0.67771351j\n",
      " -0.34354238+1.18523388j] 26\n",
      "[ 1.75014887-0.38278148j -0.60263464+0.79801723j -0.44488931+0.6739744j\n",
      " -0.34096482+1.190416j  ] 27\n",
      "[ 1.75578064-0.392222j   -0.57777383+0.81619691j -0.44549403+0.67048098j\n",
      " -0.33845171+1.19525615j] 28\n",
      "[ 1.76117169-0.40192232j -0.55236497+0.83360239j -0.44609975+0.66722867j\n",
      " -0.33600804+1.1997557j ] 29\n",
      "[ 1.76630945-0.41187069j -0.52643216+0.85021714j -0.44670693+0.66421306j\n",
      " -0.33363861+1.20391638j] 30\n",
      "[ 1.77118261-0.42205506j -0.5       +0.8660254j  -0.44731592+0.66142994j\n",
      " -0.331348  +1.20774022j] 31\n",
      "[ 1.77578111-0.43246302j -0.47309356+0.88101219j -0.44792691+0.65887531j\n",
      " -0.32914061+1.21122953j] 32\n",
      "[ 1.78009606-0.44308193j -0.44573836+0.89516329j -0.44853997+0.65654538j\n",
      " -0.3270206 +1.21438689j] 33\n",
      "[ 1.78411968-0.45389891j -0.41796035+0.90846527j -0.44915504+0.65443658j\n",
      " -0.32499196+1.21721508j] 34\n",
      "[ 1.78784527-0.4649009j  -0.38978587+0.92090552j -0.44977196+0.65254552j\n",
      " -0.32305847+1.21971713j] 35\n",
      "[ 1.79126719-0.4760747j  -0.36124167+0.93247223j -0.45039041+0.65086902j\n",
      " -0.32122374+1.22189622j] 36\n",
      "[ 1.79438074-0.48740697j -0.3323548 +0.94315443j -0.45100999+0.64940411j\n",
      " -0.31949115+1.22375572j] 37\n",
      "[ 1.7971822 -0.49888429j -0.30315267+0.952942j   -0.45163017+0.64814802j\n",
      " -0.31786389+1.22529916j] 38\n",
      "[ 1.79966876-0.51049318j -0.27366299+0.96182564j -0.4522503 +0.64709813j\n",
      " -0.31634499+1.22653022j] 39\n",
      "[ 1.80183848-0.52222011j -0.24391372+0.96979694j -0.45286965+0.64625205j\n",
      " -0.31493725+1.2274527j ] 40\n",
      "[ 1.80369025-0.53405156j -0.21393308+0.97684832j -0.45348735+0.64560753j\n",
      " -0.3136433 +1.22807052j] 41\n",
      "[ 1.80522381-0.54597397j -0.18374952+0.9829731j  -0.45410244+0.64516249j\n",
      " -0.31246556+1.22838771j] 42\n",
      "[ 1.80643966-0.55797385j -0.15339165+0.98816547j -0.45471387+0.64491502j\n",
      " -0.31140626+1.22840842j] 43\n",
      "[ 1.80733905-0.57003774j -0.12288829+0.99242051j -0.45532046+0.64486337j\n",
      " -0.31046744+1.22813687j] 44\n",
      "[ 1.80792399-0.58215222j -0.09226836+0.99573418j -0.45592094+0.6450059j\n",
      " -0.30965094+1.22757737j] 45\n",
      "[ 1.80819718-0.59430397j -0.06156091+0.99810333j -0.45651397+0.64534114j\n",
      " -0.3089584 +1.22673432j] 46\n",
      "[ 1.80816202-0.60647975j -0.03079506+0.99952572j -0.45709806+0.64586774j\n",
      " -0.30839128+1.22561217j] 47\n",
      "[-1.93085913+0.0248683j   0.01299917+0.01558794j  0.34540145+0.06686628j\n",
      "  0.33963164+0.09300476j] 96\n",
      "[-1.92996148+0.02443602j  0.0134877 +0.01517738j  0.34616126+0.06240246j\n",
      "  0.33847774+0.09724293j] 97\n",
      "[-1.92880788+0.02388133j  0.0139674 +0.01475056j  0.34686084+0.05791127j\n",
      "  0.33727177+0.10144445j] 98\n",
      "[-1.9273987 +0.02320502j  0.01443771+0.0143075j   0.34749929+0.05339405j\n",
      "  0.33601486+0.10560835j] 99\n",
      "[-1.92573442+0.02240809j  0.01489803+0.01384823j  0.34807575+0.04885214j\n",
      "  0.33470814+0.10973366j] 100\n",
      "[-1.92381559+0.02149171j  0.01534774+0.01337281j  0.34858939+0.04428694j\n",
      "  0.33335276+0.1138195j ] 101\n",
      "[-1.92164284+0.02045723j  0.01578623+0.01288131j  0.34903942+0.03969989j\n",
      "  0.33194989+0.11786499j] 102\n",
      "[-1.91921688+0.01930616j  0.01621286+0.01237383j  0.3494251 +0.03509243j\n",
      "  0.33050068+0.12186931j] 103\n",
      "[-1.91653851+0.0180402j   0.016627  +0.01185051j  0.34974572+0.03046607j\n",
      "  0.32900634+0.1258317j ] 104\n",
      "[-1.91360861+0.01666121j  0.01702797+0.0113115j   0.3500006 +0.0258223j\n",
      "  0.32746803+0.12975139j] 105\n",
      "[-1.91042812+0.01517123j  0.01741513+0.01075697j  0.35018913+0.02116269j\n",
      "  0.32588696+0.13362771j] 106\n",
      "[-1.90699808+0.01357246j  0.01778779+0.01018713j  0.35031074+0.01648879j\n",
      "  0.32426433+0.13745998j] 107\n",
      "[-1.90331959+0.01186726j  0.01814527+0.00960222j  0.35036488+0.01180221j\n",
      "  0.32260132+0.1412476j ] 108\n",
      "[-1.89939382+0.01005817j  0.0184869 +0.00900251j  0.35035109+0.00710456j\n",
      "  0.32089915+0.14498998j] 109\n",
      "[-1.89522201+0.00814787j  0.01881196+0.00838829j  0.35026893+0.00239748j\n",
      "  0.319159  +0.14868661j] 110\n",
      "[-1.89080549+0.00613919j  0.01911977+0.00775991j  0.35011802-0.00231736j\n",
      "  0.31738207+0.15233698j] 111\n",
      "[-1.88614564+0.00403515j  0.01940963+0.00711773j  0.34989804-0.0070383j\n",
      "  0.31556955+0.15594063j] 112\n",
      "[-1.8812439 +0.00183887j  0.01968084+0.00646215j  0.34960872-0.01176363j\n",
      "  0.31372262+0.15949717j] 113\n",
      "[-1.87610179-0.00044635j  0.0199327 +0.00579361j  0.34924984-0.01649166j\n",
      "  0.31184246+0.16300621j] 114\n",
      "[-1.87072087-0.00281709j  0.02016452+0.00511259j  0.34882124-0.02122065j\n",
      "  0.30993024+0.16646743j] 115\n",
      "[-1.86510279-0.00526979j  0.0203756 +0.0044196j   0.34832283-0.0259489j\n",
      "  0.30798711+0.16988052j] 116\n",
      "[-1.85924921-0.00780076j  0.02056527+0.0037152j   0.34775454-0.03067465j\n",
      "  0.30601421+0.17324525j] 117\n",
      "[-1.8531619 -0.01040617j  0.02073286+0.00299999j  0.34711641-0.03539617j\n",
      "  0.30401268+0.17656138j] 118\n",
      "[-1.84684264-0.01308209j  0.02087769+0.00227458j  0.34640851-0.04011171j\n",
      "  0.30198364+0.17982875j] 119\n",
      "[-1.84029327-0.01582446j  0.02099913+0.00153966j  0.34563097-0.04481954j\n",
      "  0.29992818+0.18304721j] 120\n",
      "[-1.83351569-0.01862914j  0.02109655+0.00079594j  0.34478399-0.04951791j\n",
      "  0.29784738+0.18621665j] 121\n",
      "[-1.82651184-2.14918539e-02j  0.02116933+4.41695836e-05j\n",
      "  0.34386782-5.42050901e-02j  0.29574233+1.89337019e-01j] 122\n",
      "[-1.81928371-0.02440825j  0.02121688-0.00071486j  0.34288279-0.05887935j\n",
      "  0.29361405+0.19240828j] 123\n",
      "[-1.8118333 -0.02737388j  0.02123864-0.0014803j   0.34182928-0.06353896j\n",
      "  0.29146359+0.19543042j] 124\n",
      "[-1.80416269-0.03038422j  0.02123408-0.0022513j   0.34070772-0.06818224j\n",
      "  0.28929194+0.1984035j ] 125\n",
      "[-1.79627398-0.03343468j  0.02120268-0.00302694j  0.33951862-0.07280747j\n",
      "  0.28710009+0.20132759j] 126\n",
      "[-1.78816931-0.03652057j  0.02114396-0.00380627j  0.33826253-0.07741301j\n",
      "  0.28488901+0.20420278j] 127\n",
      "[-1.77985085-0.03963719j  0.0210575 -0.00458831j  0.33694009-0.08199719j\n",
      "  0.28265964+0.20702921j] 128\n",
      "[-1.77132079-0.04277976j  0.02094288-0.00537203j  0.33555196-0.0865584j\n",
      "  0.28041289+0.20980706j] 129\n",
      "[-1.76258139-0.04594346j  0.02079974-0.00615639j  0.33409888-0.09109502j\n",
      "  0.27814964+0.21253653j] 130\n",
      "[-1.7536349 -0.04912344j  0.02062777-0.00694029j  0.33258166-0.0956055j\n",
      "  0.27587078+0.21521783j] 131\n",
      "[-1.74448362-0.05231483j  0.02042669-0.00772262j  0.33100112-0.10008829j\n",
      "  0.27357714+0.21785124j] 132\n",
      "[-1.73512986-0.05551275j  0.02019627-0.00850223j  0.32935818-0.10454189j\n",
      "  0.27126954+0.22043703j] 133\n",
      "[-1.72557598-0.0587123j   0.01993635-0.00927796j  0.32765379-0.10896484j\n",
      "  0.26894876+0.22297553j] 134\n",
      "[-1.71582436-0.06190858j  0.01964681-0.01004861j  0.32588894-0.11335569j\n",
      "  0.26661557+0.22546707j] 135\n",
      "[-1.70587738-0.06509672j  0.01932756-0.01081297j  0.32406469-0.11771307j\n",
      "  0.26427071+0.22791201j] 136\n",
      "[-1.69573747-0.06827186j  0.01897862-0.0115698j   0.32218212-0.12203563j\n",
      "  0.26191489+0.23031076j] 137\n",
      "[-1.68540707-0.07142917j  0.01860002-0.01231787j  0.32024239-0.12632208j\n",
      "  0.25954879+0.23266371j] 138\n",
      "[-1.67488866-0.07456387j  0.01819187-0.01305592j  0.31824666-0.13057115j\n",
      "  0.25717308+0.23497132j] 139\n",
      "[-1.66418472-0.07767122j  0.01775435-0.01378267j  0.31619614-0.13478164j\n",
      "  0.25478837+0.23723403j] 140\n",
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      " -0.28710009-0.20132759j] 222\n",
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      "[ 1.73512986+0.05551275j -0.02019627+0.00850223j -0.32935818+0.10454189j\n",
      " -0.27126954-0.22043703j] 229\n",
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      " -0.26661557-0.22546707j] 231\n",
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      " -0.26427071-0.22791201j] 232\n",
      "[ 1.69573747+0.06827186j -0.01897862+0.0115698j  -0.32218212+0.12203563j\n",
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      "[ 1.68540707+0.07142917j -0.01860002+0.01231787j -0.32024239+0.12632208j\n",
      " -0.25954879-0.23266371j] 234\n",
      "[ 1.67488866+0.07456387j -0.01819187+0.01305592j -0.31824666+0.13057115j\n",
      " -0.25717308-0.23497132j] 235\n",
      "[ 1.66418472+0.07767122j -0.01775435+0.01378267j -0.31619614+0.13478164j\n",
      " -0.25478837-0.23723403j] 236\n",
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      " -0.25239529-0.23945232j] 237\n",
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      " -0.24999441-0.2416267j ] 238\n",
      "[ 1.63098503+0.08678271j -0.01626817+0.01588253j -0.30972854+0.14717039j\n",
      " -0.24758628-0.24375767j] 239\n",
      "[ 4.98292854-0.16990744j -0.99573418+0.09226836j  0.40953955-0.8982757j\n",
      "  0.42652548-0.91875729j] 240\n",
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      "[ 4.98167652-0.16682511j -0.98816547+0.15339165j  0.40405109-0.89154843j\n",
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      "[ 4.98082212-0.16470768j -0.9829731 +0.18374952j  0.40135426-0.88820664j\n",
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      "[ 4.97981903-0.16220706j -0.97684832+0.21393308j  0.39869323-0.88488045j\n",
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      "[ 4.9759536 -0.15241633j -0.952942  +0.30315267j  0.39095558-0.87500376j\n",
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      "[ 4.97439424-0.14839422j -0.94315443+0.3323548j   0.38846811-0.87174855j\n",
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      "[ 4.97090061-0.13922248j -0.92090552+0.38978587j  0.38364817-0.86529984j\n",
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      "[ 4.96694862-0.12856228j -0.89516329+0.44573836j  0.37905341-0.85894114j\n",
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      "  0.46284491-0.96405856j] 253\n",
      "[ 4.96259488-0.11643587j -0.8660254 +0.5j         0.37470538-0.85268294j\n",
      "  0.46542285-0.9675516j ] 254\n",
      "[ 4.96028708-0.10983136j -0.85021714+0.52643216j  0.37263036-0.84959519j\n",
      "  0.467948  -0.97103884j] 255\n",
      "[ 4.95790342-0.10287133j -0.83360239+0.55236497j  0.37062466-0.84653714j\n",
      "  0.47041573-0.97451834j] 256\n",
      "[ 4.95545298-0.09556038j -0.81619691+0.57777383j  0.3686907 -0.84351055j\n",
      "  0.47282141-0.97798796j] 257\n",
      "[ 4.95294522-0.08790359j -0.79801723+0.60263464j  0.36683084-0.84051725j\n",
      "  0.47516036-0.98144538j] 258\n",
      "[ 4.95038999-0.07990659j -0.77908057+0.62692381j  0.36504733-0.83755921j\n",
      "  0.47742791-0.98488808j] 259\n",
      "[ 4.94779746-0.07157557j -0.75940492+0.6506183j   0.36334238-0.8346385j\n",
      "  0.47961939-0.98831332j] 260\n",
      "[ 4.94517809-0.06291732j -0.73900892+0.67369564j  0.36171807-0.83175732j\n",
      "  0.48173013-0.9917181j ] 261\n",
      "[ 4.94254262-0.05393928j -0.71791192+0.69613395j  0.36017642-0.82891797j\n",
      "  0.48375552-0.99509922j] 262\n",
      "[ 4.93990196-0.04464959j -0.69613395+0.71791192j  0.35871933-0.8261229j\n",
      "  0.485691  -0.9984532j ] 263\n",
      "[ 4.93726722-0.03505706j -0.67369564+0.73900892j  0.3573486 -0.82337466j\n",
      "  0.48753209-1.00177628j] 264\n",
      "[ 4.93464957-0.02517125j -0.6506183 +0.75940492j  0.35606589-0.82067595j\n",
      "  0.48927441-1.00506446j] 265\n",
      "[ 4.93206024-0.0150025j  -0.62692381+0.77908057j  0.35487276-0.81802956j\n",
      "  0.49091372-1.00831345j] 266\n",
      "[ 4.92951043-0.00456192j -0.60263464+0.79801723j  0.35377061-0.81543844j\n",
      "  0.49244593-1.01151866j] 267\n",
      "[ 4.92701122+0.00613858j -0.57777383+0.81619691j  0.35276069-0.81290562j\n",
      "  0.49386714-1.01467525j] 268\n",
      "[ 4.92457354+0.01708628j -0.55236497+0.83360239j  0.3518441 -0.81043427j\n",
      "  0.49517367-1.01777808j] 269\n",
      "[ 4.92220802+0.02826766j -0.52643216+0.85021714j  0.35102174-0.80802766j\n",
      "  0.49636209-1.02082172j] 270\n",
      "[ 4.91992496+0.0396684j  -0.5       +0.8660254j   0.35029437-0.80568916j\n",
      "  0.49742926-1.02380051j] 271\n",
      "[ 4.91773424+0.05127339j -0.47309356+0.88101219j  0.34966251-0.80342224j\n",
      "  0.49837237-1.0267085j ] 272\n",
      "[ 4.91564521+0.06306677j -0.44573836+0.89516329j  0.34912651-0.80123043j\n",
      "  0.49918895-1.02953953j] 273\n",
      "[ 4.91366659+0.07503198j -0.41796034+0.90846527j  0.34868647-0.79911735j\n",
      "  0.49987694-1.03228722j] 274\n",
      "[ 4.91180645+0.08715176j -0.38978587+0.92090552j  0.34834228-0.79708666j\n",
      "  0.50043469-1.034945j  ] 275\n",
      "[ 4.91007205+0.09940829j -0.36124167+0.93247223j  0.3480936 -0.79514208j\n",
      "  0.500861  -1.03750616j] 276\n",
      "[ 4.90846982+0.11178318j -0.3323548 +0.94315443j  0.34793985-0.79328733j\n",
      "  0.50115517-1.03996386j] 277\n",
      "[ 4.90700526+0.12425763j -0.30315267+0.952942j    0.34788018-0.79152614j\n",
      "  0.501317  -1.04231119j] 278\n",
      "[ 4.90568292+0.13681244j -0.27366299+0.96182564j  0.34791353-0.78986223j\n",
      "  0.5013468 -1.0445412j ] 279\n",
      "[ 4.90450628+0.1494282j  -0.24391372+0.96979694j  0.34803854-0.78829927j\n",
      "  0.50124546-1.04664697j] 280\n",
      "[ 4.90347781+0.16208533j -0.21393308+0.97684832j  0.34825364-0.78684088j\n",
      "  0.50101439-1.04862166j] 281\n",
      "[ 4.90259886+0.17476422j -0.18374952+0.9829731j   0.348557  -0.7854906j\n",
      "  0.50065557-1.05045853j] 282\n",
      "[ 4.90186971+0.18744536j -0.15339165+0.98816547j  0.34894652-0.78425188j\n",
      "  0.50017155-1.05215103j] 283\n",
      "[ 4.90128955+0.20010942j -0.12288829+0.99242051j  0.34941991-0.78312801j\n",
      "  0.4995654 -1.05369286j] 284\n",
      "[ 4.9008565 +0.21273741j -0.09226836+0.99573418j  0.34997462-0.78212218j\n",
      "  0.49884073-1.05507799j] 285\n",
      "[ 4.90056769+0.22531078j -0.06156091+0.99810333j  0.35060791-0.78123738j\n",
      "  0.49800167-1.05630074j] 286\n",
      "[ 4.90041923+0.23781151j -0.03079506+0.99952572j  0.35131683-0.78047644j\n",
      "  0.49705282-1.05735584j] 287\n",
      "[ 0.88700557+0.12417953j  0.02562143+0.01126431j -0.1217967 -0.30890417j\n",
      " -0.16060442+0.29047635j] 288\n",
      "[ 0.9036089 +0.1258044j   0.02581761+0.01053494j -0.12427529-0.30821062j\n",
      " -0.16374613+0.28887962j] 289\n",
      "[ 0.92017332+0.12735897j  0.02599136+0.00980613j -0.12675339-0.30750094j\n",
      " -0.16689242+0.28723931j] 290\n",
      "[ 0.93669684+0.12884049j  0.02614298+0.00907861j -0.12923105-0.30677483j\n",
      " -0.17004276+0.28555499j] 291\n",
      "[ 0.95317739+0.13024626j  0.02627282+0.00835303j -0.13170831-0.30603198j\n",
      " -0.17319662+0.2838262j ] 292\n",
      "[ 0.96961282+0.13157362j  0.02638123+0.00763006j -0.13418522-0.30527207j\n",
      " -0.17635343+0.28205253j] 293\n",
      "[ 0.98600096+0.13282j     0.02646858+0.00691032j -0.13666183-0.30449476j\n",
      " -0.17951259+0.28023354j] 294\n",
      "[ 1.00233954+0.13398285j  0.02653527+0.0061944j  -0.13913818-0.30369971j\n",
      " -0.18267349+0.27836882j] 295\n",
      "[ 1.01862625+0.13505972j  0.02658169+0.00548286j -0.14161432-0.30288655j\n",
      " -0.1858355 +0.27645796j] 296\n",
      "[ 1.03485871+0.13604824j  0.02660827+0.00477624j -0.14409027-0.30205492j\n",
      " -0.18899796+0.27450057j] 297\n",
      "[ 1.0510345 +0.13694611j  0.02661542+0.00407505j -0.14656609-0.30120442j\n",
      " -0.19216018+0.27249624j] 298\n",
      "[ 1.06715112+0.13775116j  0.02660359+0.00337976j -0.1490418 -0.30033466j\n",
      " -0.19532146+0.27044461j] 299\n",
      "[ 1.08320604+0.13846129j  0.0265732 +0.00269082j -0.15151742-0.29944523j\n",
      " -0.19848106+0.26834528j] 300\n",
      "[ 1.09919667+0.13907452j  0.02652472+0.00200866j -0.153993  -0.29853569j\n",
      " -0.20163824+0.26619791j] 301\n",
      "[ 1.11512037+0.13958901j  0.02645858+0.00133367j -0.15646855-0.29760561j\n",
      " -0.2047922 +0.26400213j] 302\n",
      "[ 1.13097447+0.14000302j  0.02637524+0.00066622j -0.15894409-0.29665454j\n",
      " -0.20794215+0.2617576j ] 303\n",
      "[ 1.14675625+1.40314957e-01j  0.02627515+6.65390715e-06j\n",
      " -0.16141963-2.95682016e-01j -0.21108725+2.59463993e-01j] 304\n",
      "[ 1.16246293+0.14052335j  0.02615875-0.00064472j -0.16389519-0.29468756j\n",
      " -0.21422664+0.25712098j] 305\n",
      "[ 1.17809172+0.14062689j  0.02602651-0.0012876j  -0.16637077-0.29367067j\n",
      " -0.21735943+0.25472827j] 306\n",
      "[ 1.1936398 +0.14062441j  0.02587886-0.00192173j -0.16884637-0.29263086j\n",
      " -0.22048473+0.25228555j] 307\n",
      "[ 1.2091043 +0.1405149j   0.02571624-0.00254686j -0.17132199-0.2915676j\n",
      " -0.22360158+0.24979255j] 308\n",
      "[ 1.22448232+0.14029751j  0.0255391 -0.00316276j -0.1737976 -0.29048038j\n",
      " -0.22670902+0.24724901j] 309\n",
      "[ 1.23977096+0.13997156j  0.02534785-0.00376923j -0.17627319-0.28936865j\n",
      " -0.22980606+0.24465468j] 310\n",
      "[ 1.25496729+0.13953653j  0.02514293-0.0043661j  -0.17874874-0.28823186j\n",
      " -0.23289167+0.24200932j] 311\n",
      "[ 1.27006835+0.13899211j  0.02492474-0.00495319j -0.18122421-0.28706946j\n",
      " -0.23596481+0.23931274j] 312\n",
      "[ 1.28507118+0.13833811j  0.0246937 -0.00553035j -0.18369955-0.28588086j\n",
      " -0.23902441+0.23656475j] 313\n",
      "[ 1.2999728 +0.13757457j  0.0244502 -0.00609747j -0.18617471-0.2846655j\n",
      " -0.24206935+0.23376517j] 314\n",
      "[ 1.31477023+0.13670169j  0.02419463-0.00665443j -0.18864963-0.28342277j\n",
      " -0.24509852+0.23091386j] 315\n",
      "[ 1.32946048+0.13571987j  0.02392736-0.00720113j -0.19112423-0.28215209j\n",
      " -0.24811074+0.22801071j] 316\n",
      "[ 1.34404054+0.13462969j  0.02364876-0.00773748j -0.19359845-0.28085283j\n",
      " -0.25110485+0.22505562j] 317\n",
      "[ 1.35850744+0.13343192j  0.02335919-0.0082634j  -0.19607217-0.27952439j\n",
      " -0.25407962+0.22204853j] 318\n",
      "[ 1.37285819+0.13212753j  0.02305899-0.00877885j -0.19854529-0.27816615j\n",
      " -0.25703383+0.21898941j] 319\n",
      "[ 1.38708979+0.13071768j  0.0227485 -0.00928377j -0.20101771-0.27677747j\n",
      " -0.25996621+0.21587826j] 320\n",
      "[ 1.40119927+0.12920371j  0.02242804-0.00977811j -0.20348927-0.27535772j\n",
      " -0.26287548+0.21271511j] 321\n",
      "[ 1.41518367+0.12758715j  0.02209792-0.01026185j -0.20595984-0.27390626j\n",
      " -0.26576034+0.20950003j] 322\n",
      "[ 1.42904003+0.12586975j  0.02175844-0.01073496j -0.20842926-0.27242245j\n",
      " -0.26861947+0.20623313j] 323\n",
      "[ 1.44276541+0.12405342j  0.0214099 -0.01119741j -0.21089736-0.27090564j\n",
      " -0.27145151+0.20291454j] 324\n",
      "[ 1.45635689+0.12214025j  0.02105256-0.01164921j -0.21336393-0.26935518j\n",
      " -0.2742551 +0.19954446j] 325\n",
      "[ 1.46981155+0.12013256j  0.02068671-0.01209033j -0.21582878-0.26777044j\n",
      " -0.27702886+0.19612311j] 326\n",
      "[ 1.4831265 +0.11803279j  0.0203126 -0.01252077j -0.21829167-0.26615075j\n",
      " -0.2797714 +0.19265077j] 327\n",
      "[ 1.49629888+0.11584361j  0.01993046-0.01294054j -0.22075238-0.26449547j\n",
      " -0.28248131+0.18912775j] 328\n",
      "[ 1.50932583+0.11356783j  0.01954055-0.01334963j -0.22321063-0.26280396j\n",
      " -0.28515717+0.18555442j] 329\n",
      "[ 1.52220452+0.11120845j  0.01914309-0.01374805j -0.22566614-0.26107557j\n",
      " -0.28779756+0.18193119j] 330\n",
      "[ 1.53493214+0.10876862j  0.0187383 -0.0141358j  -0.22811862-0.25930966j\n",
      " -0.29040104+0.17825852j] 331\n",
      "[ 1.54750591+0.10625167j  0.01832639-0.01451288j -0.23056775-0.25750561j\n",
      " -0.29296617+0.17453693j] 332\n",
      "[ 1.55992306+0.10366106j  0.01790756-0.0148793j  -0.23301318-0.25566278j\n",
      " -0.29549153+0.170767j  ] 333\n",
      "[ 1.57218085+0.10100041j  0.017482  -0.01523506j -0.23545455-0.25378057j\n",
      " -0.29797567+0.16694932j] 334\n",
      "[ 1.58427656+0.09827349j  0.0170499 -0.01558015j -0.23789149-0.25185835j\n",
      " -0.30041718+0.16308459j] 335\n",
      "[ 1.59620749+0.09548418j  0.01661143-0.01591459j -0.24032357-0.24989553j\n",
      " -0.30281462+0.15917352j] 336\n",
      "[ 1.60797098+0.0926365j   0.01616678-0.01623837j -0.24275037-0.24789153j\n",
      " -0.30516659+0.1552169j ] 337\n",
      "[-0.88700557-0.12417953j -0.02562143-0.01126431j  0.1217967 +0.30890417j\n",
      "  0.16060442-0.29047635j] 338\n",
      "[-0.9036089 -0.1258044j  -0.02581761-0.01053494j  0.12427529+0.30821062j\n",
      "  0.16374613-0.28887962j] 339\n",
      "[-0.92017332-0.12735897j -0.02599136-0.00980613j  0.12675339+0.30750094j\n",
      "  0.16689242-0.28723931j] 340\n",
      "[-0.93669684-0.12884049j -0.02614298-0.00907861j  0.12923105+0.30677483j\n",
      "  0.17004276-0.28555499j] 341\n",
      "[-0.95317739-0.13024626j -0.02627282-0.00835303j  0.13170831+0.30603198j\n",
      "  0.17319662-0.2838262j ] 342\n",
      "[-0.96961282-0.13157362j -0.02638123-0.00763006j  0.13418522+0.30527207j\n",
      "  0.17635343-0.28205253j] 343\n",
      "[-0.98600096-0.13282j    -0.02646858-0.00691032j  0.13666183+0.30449476j\n",
      "  0.17951259-0.28023354j] 344\n",
      "[-1.00233954-0.13398285j -0.02653527-0.0061944j   0.13913818+0.30369971j\n",
      "  0.18267349-0.27836882j] 345\n",
      "[-1.01862625-0.13505972j -0.02658169-0.00548286j  0.14161432+0.30288655j\n",
      "  0.1858355 -0.27645796j] 346\n",
      "[-1.03485871-0.13604824j -0.02660827-0.00477624j  0.14409027+0.30205492j\n",
      "  0.18899796-0.27450057j] 347\n",
      "[-1.0510345 -0.13694611j -0.02661542-0.00407505j  0.14656609+0.30120442j\n",
      "  0.19216018-0.27249624j] 348\n",
      "[-1.06715112-0.13775116j -0.02660359-0.00337976j  0.1490418 +0.30033466j\n",
      "  0.19532146-0.27044461j] 349\n",
      "[-1.08320604-0.13846129j -0.0265732 -0.00269082j  0.15151742+0.29944523j\n",
      "  0.19848106-0.26834528j] 350\n",
      "[-1.09919667-0.13907452j -0.02652472-0.00200866j  0.153993  +0.29853569j\n",
      "  0.20163824-0.26619791j] 351\n",
      "[-1.11512037-0.13958901j -0.02645858-0.00133367j  0.15646855+0.29760561j\n",
      "  0.2047922 -0.26400213j] 352\n",
      "[-1.13097447-0.14000302j -0.02637524-0.00066622j  0.15894409+0.29665454j\n",
      "  0.20794215-0.2617576j ] 353\n",
      "[-1.14675625-1.40314957e-01j -0.02627515-6.65390715e-06j\n",
      "  0.16141963+2.95682016e-01j  0.21108725-2.59463993e-01j] 354\n",
      "[-1.16246293-0.14052335j -0.02615875+0.00064472j  0.16389519+0.29468756j\n",
      "  0.21422664-0.25712098j] 355\n",
      "[-1.17809172-0.14062689j -0.02602651+0.0012876j   0.16637077+0.29367067j\n",
      "  0.21735943-0.25472827j] 356\n",
      "[-1.1936398 -0.14062441j -0.02587886+0.00192173j  0.16884637+0.29263086j\n",
      "  0.22048473-0.25228555j] 357\n",
      "[-1.2091043 -0.1405149j  -0.02571624+0.00254686j  0.17132199+0.2915676j\n",
      "  0.22360158-0.24979255j] 358\n",
      "[-1.22448232-0.14029751j -0.0255391 +0.00316276j  0.1737976 +0.29048038j\n",
      "  0.22670902-0.24724901j] 359\n",
      "[-1.23977096-0.13997156j -0.02534785+0.00376923j  0.17627319+0.28936865j\n",
      "  0.22980606-0.24465468j] 360\n",
      "[-1.25496729-0.13953653j -0.02514293+0.0043661j   0.17874874+0.28823186j\n",
      "  0.23289167-0.24200932j] 361\n",
      "[-1.27006835-0.13899211j -0.02492474+0.00495319j  0.18122421+0.28706946j\n",
      "  0.23596481-0.23931274j] 362\n",
      "[-1.28507118-0.13833811j -0.0246937 +0.00553035j  0.18369955+0.28588086j\n",
      "  0.23902441-0.23656475j] 363\n",
      "[-1.2999728 -0.13757457j -0.0244502 +0.00609747j  0.18617471+0.2846655j\n",
      "  0.24206935-0.23376517j] 364\n",
      "[-1.31477023-0.13670169j -0.02419463+0.00665443j  0.18864963+0.28342277j\n",
      "  0.24509852-0.23091386j] 365\n",
      "[-1.32946048-0.13571987j -0.02392736+0.00720113j  0.19112423+0.28215209j\n",
      "  0.24811074-0.22801071j] 366\n",
      "[-1.34404054-0.13462969j -0.02364876+0.00773748j  0.19359845+0.28085283j\n",
      "  0.25110485-0.22505562j] 367\n",
      "[-1.35850744-0.13343192j -0.02335919+0.0082634j   0.19607217+0.27952439j\n",
      "  0.25407962-0.22204853j] 368\n",
      "[-1.37285819-0.13212753j -0.02305899+0.00877885j  0.19854529+0.27816615j\n",
      "  0.25703383-0.21898941j] 369\n",
      "[-1.38708979-0.13071768j -0.0227485 +0.00928377j  0.20101771+0.27677747j\n",
      "  0.25996621-0.21587826j] 370\n",
      "[-1.40119927-0.12920371j -0.02242804+0.00977811j  0.20348927+0.27535772j\n",
      "  0.26287548-0.21271511j] 371\n",
      "[-1.41518367-0.12758715j -0.02209792+0.01026185j  0.20595984+0.27390626j\n",
      "  0.26576034-0.20950003j] 372\n",
      "[-1.42904003-0.12586975j -0.02175844+0.01073496j  0.20842926+0.27242245j\n",
      "  0.26861947-0.20623313j] 373\n",
      "[-1.44276541-0.12405342j -0.0214099 +0.01119741j  0.21089736+0.27090564j\n",
      "  0.27145151-0.20291454j] 374\n",
      "[-1.45635689-0.12214025j -0.02105256+0.01164921j  0.21336393+0.26935518j\n",
      "  0.2742551 -0.19954446j] 375\n",
      "[-1.46981155-0.12013256j -0.02068671+0.01209033j  0.21582878+0.26777044j\n",
      "  0.27702886-0.19612311j] 376\n",
      "[-1.4831265 -0.11803279j -0.0203126 +0.01252077j  0.21829167+0.26615075j\n",
      "  0.2797714 -0.19265077j] 377\n",
      "[-1.49629888-0.11584361j -0.01993046+0.01294054j  0.22075238+0.26449547j\n",
      "  0.28248131-0.18912775j] 378\n",
      "[-1.50932583-0.11356783j -0.01954055+0.01334963j  0.22321063+0.26280396j\n",
      "  0.28515717-0.18555442j] 379\n",
      "[-1.52220452-0.11120845j -0.01914309+0.01374805j  0.22566614+0.26107557j\n",
      "  0.28779756-0.18193119j] 380\n",
      "[-1.53493214-0.10876862j -0.0187383 +0.0141358j   0.22811862+0.25930966j\n",
      "  0.29040104-0.17825852j] 381\n",
      "[-1.54750591-0.10625167j -0.01832639+0.01451288j  0.23056775+0.25750561j\n",
      "  0.29296617-0.17453693j] 382\n",
      "[-1.55992306-0.10366106j -0.01790756+0.0148793j   0.23301318+0.25566278j\n",
      "  0.29549153-0.170767j  ] 383\n",
      "[-1.57218085-0.10100041j -0.017482  +0.01523506j  0.23545455+0.25378057j\n",
      "  0.29797567-0.16694932j] 384\n",
      "[-1.58427656-0.09827349j -0.0170499 +0.01558015j  0.23789149+0.25185835j\n",
      "  0.30041718-0.16308459j] 385\n",
      "[-1.59620749-0.09548418j -0.01661143+0.01591459j  0.24032357+0.24989553j\n",
      "  0.30281462-0.15917352j] 386\n",
      "[-1.60797098-0.0926365j  -0.01616678+0.01623837j  0.24275037+0.24789153j\n",
      "  0.30516659-0.1552169j ] 387\n",
      "[4.93500537+0.58686467j 0.99573418-0.09226836j 0.42143047-0.92234471j\n",
      " 0.4145026 -0.8947873j ] 388\n",
      "[4.93487876+0.58592875j 0.99242051-0.12288829j 0.42259872-0.92699564j\n",
      " 0.41334445-0.89029236j] 389\n",
      "[4.93471565+0.58472566j 0.98816547-0.15339165j 0.42377599-0.93165128j\n",
      " 0.41218075-0.88583639j] 390\n",
      "[4.93451581+0.5832556j  0.9829731 -0.18374952j 0.42496424-0.93630696j\n",
      " 0.41100998-0.88142337j] 391\n",
      "[4.93427895+0.58151878j 0.97684832-0.21393308j 0.42616543-0.94095796j\n",
      " 0.40983069-0.87705722j] 392\n",
      "[4.93400477+0.57951543j 0.96979694-0.24391372j 0.42738151-0.94559943j\n",
      " 0.40864155-0.8727418j ] 393\n",
      "[4.93369293+0.57724582j 0.96182564-0.27366299j 0.4286144 -0.95022643j\n",
      " 0.40744131-0.86848091j] 394\n",
      "[4.93334306+0.57471024j 0.952942  -0.30315267j 0.42986597-0.95483393j\n",
      " 0.40622884-0.86427831j] 395\n",
      "[4.93295479+0.571909j   0.94315443-0.3323548j  0.43113805-0.95941678j\n",
      " 0.40500315-0.86013773j] 396\n",
      "[4.93252776+0.56884239j 0.93247223-0.36124167j 0.43243238-0.96396974j\n",
      " 0.40376334-0.85606281j] 397\n",
      "[4.93206162+0.56551074j 0.92090552-0.38978587j 0.43375062-0.96848745j\n",
      " 0.40250866-0.85205718j] 398\n",
      "[4.93155604+0.56191435j 0.90846527-0.41796035j 0.43509435-0.97296445j\n",
      " 0.40123849-0.8481244j ] 399\n",
      "[4.93101074+0.55805353j 0.89516329-0.44573836j 0.43646499-0.97739519j\n",
      " 0.39995234-0.84426801j] 400\n",
      "[4.93042551+0.55392858j 0.88101219-0.47309356j 0.43786385-0.98177399j\n",
      " 0.39864988-0.84049147j] 401\n",
      "[4.92980022+0.54953977j 0.8660254 -0.5j        0.43929209-0.9860951j\n",
      " 0.39733092-0.83679823j] 402\n",
      "[4.92913484+0.54488737j 0.85021714-0.52643216j 0.4407507 -0.99035266j\n",
      " 0.39599542-0.83319164j] 403\n",
      "[4.92842946+0.53997163j 0.83360238-0.55236497j 0.44224046-0.99454071j\n",
      " 0.39464351-0.82967506j] 404\n",
      "[4.92768432+0.53479277j 0.81619691-0.57777383j 0.44376196-0.99865325j\n",
      " 0.39327547-0.82625175j] 405\n",
      "[4.92689984+0.52935101j 0.79801723-0.60263464j 0.44531557-1.00268417j\n",
      " 0.39189173-0.82292492j] 406\n",
      "[4.92607663+0.52364656j 0.77908057-0.62692381j 0.44690141-1.00662732j\n",
      " 0.39049292-0.81969774j] 407\n",
      "[4.92521552+0.51767961j 0.75940492-0.6506183j  0.44851933-1.01047649j\n",
      " 0.38907981-0.8165733j ] 408\n",
      "[4.92431761+0.51145038j 0.73900892-0.67369564j 0.45016892-1.01422546j\n",
      " 0.38765337-0.81355461j] 409\n",
      "[4.92338426+0.50495909j 0.71791192-0.69613395j 0.45184946-1.01786797j\n",
      " 0.38621471-0.81064463j] 410\n",
      "[4.92241715+0.49820603j 0.69613395-0.71791192j 0.45355991-1.02139779j\n",
      " 0.38476513-0.80784622j] 411\n",
      "[4.92141829+0.49119151j 0.67369564-0.73900892j 0.45529894-1.02480869j\n",
      " 0.38330612-0.80516215j] 412\n",
      "[4.92039007+0.48391595j 0.6506183 -0.75940492j 0.45706482-1.02809453j\n",
      " 0.38183933-0.8025951j ] 413\n",
      "[4.91933525+0.47637989j 0.62692381-0.77908057j 0.45885553-1.03124919j\n",
      " 0.38036659-0.80014765j] 414\n",
      "[4.918257  +0.46858398j 0.60263464-0.79801723j 0.46066865-1.0342667j\n",
      " 0.3788899 -0.79782226j] 415\n",
      "[4.91715895+0.4605291j  0.57777383-0.81619691j 0.46250139-1.03714121j\n",
      " 0.37741145-0.79562129j] 416\n",
      "[4.91604515+0.45221633j 0.55236497-0.83360239j 0.46435061-1.03986702j\n",
      " 0.37593357-0.79354693j] 417\n",
      "[4.91492015+0.44364704j 0.52643216-0.85021714j 0.46621276-1.04243866j\n",
      " 0.37445878-0.79160126j] 418\n",
      "[4.91378894+0.43482291j 0.5       -0.8660254j  0.46808394-1.04485087j\n",
      " 0.37298976-0.78978622j] 419\n",
      "[4.91265702+0.42574603j 0.47309356-0.88101219j 0.46995986-1.04709867j\n",
      " 0.37152934-0.78810355j] 420\n",
      "[4.91153035+0.41641888j 0.44573836-0.89516329j 0.47183589-1.04917739j\n",
      " 0.37008051-0.78655485j] 421\n",
      "[4.91041534+0.4068445j  0.41796034-0.90846527j 0.47370703-1.0510827j\n",
      " 0.3686464 -0.78514154j] 422\n",
      "[4.90931888+0.39702645j 0.38978587-0.92090552j 0.47556796-1.05281067j\n",
      " 0.36723025-0.78386482j] 423\n",
      "[4.90824825+0.38696893j 0.36124167-0.93247223j 0.47741304-1.05435776j\n",
      " 0.36583546-0.78272571j] 424\n",
      "[4.90721112+0.37667683j 0.3323548 -0.94315443j 0.47923636-1.05572091j\n",
      " 0.36446552-0.781725j  ] 425\n",
      "[4.9062155 +0.36615578j 0.30315267-0.952942j   0.48103177-1.05689754j\n",
      " 0.36312401-0.78086328j] 426\n",
      "[4.90526968+0.35541222j 0.27366299-0.96182564j 0.48279287-1.0578856j\n",
      " 0.36181461-0.78014089j] 427\n",
      "[4.90438216+0.34445345j 0.24391372-0.96979694j 0.48451311-1.05868358j\n",
      " 0.36054105-0.77955791j] 428\n",
      "[4.90356159+0.33328767j 0.21393308-0.97684832j 0.48618582-1.05929054j\n",
      " 0.35930712-0.77911422j] 429\n",
      "[4.90281666+0.32192402j 0.18374952-0.9829731j  0.48780423-1.05970614j\n",
      " 0.35811663-0.7788094j ] 430\n",
      "[4.90215606+0.31037262j 0.15339165-0.98816547j 0.48936156-1.05993064j\n",
      " 0.35697341-0.77864281j] 431\n",
      "[4.9015883 +0.29864457j 0.12288829-0.99242051j 0.49085104-1.0599649j\n",
      " 0.35588128-0.77861351j] 432\n",
      "[4.90112172+0.28675195j 0.09226836-0.99573418j 0.49226598-1.05981042j\n",
      " 0.35484401-0.77872035j] 433\n",
      "[4.90076427+0.27470784j 0.06156091-0.99810333j 0.49359985-1.05946929j\n",
      " 0.35386534-0.77896187j] 434\n",
      "[4.90052349+0.26252628j 0.03079506-0.99952572j 0.49484629-1.05894421j\n",
      " 0.3529489 -0.77933639j] 435\n",
      "[-4.93500537-0.58686467j -0.99573418+0.09226836j -0.42143047+0.92234471j\n",
      " -0.4145026 +0.8947873j ] 436\n",
      "[-4.93487876-0.58592875j -0.99242051+0.12288829j -0.42259872+0.92699564j\n",
      " -0.41334445+0.89029236j] 437\n",
      "[-4.93471565-0.58472566j -0.98816547+0.15339165j -0.42377599+0.93165128j\n",
      " -0.41218075+0.88583639j] 438\n",
      "[-4.93451581-0.5832556j  -0.9829731 +0.18374952j -0.42496424+0.93630696j\n",
      " -0.41100998+0.88142337j] 439\n",
      "[-4.93427895-0.58151878j -0.97684832+0.21393308j -0.42616543+0.94095796j\n",
      " -0.40983069+0.87705722j] 440\n",
      "[-4.93400477-0.57951543j -0.96979694+0.24391372j -0.42738151+0.94559943j\n",
      " -0.40864155+0.8727418j ] 441\n",
      "[-4.93369293-0.57724582j -0.96182564+0.27366299j -0.4286144 +0.95022643j\n",
      " -0.40744131+0.86848091j] 442\n",
      "[-4.93334306-0.57471024j -0.952942  +0.30315267j -0.42986597+0.95483393j\n",
      " -0.40622884+0.86427831j] 443\n",
      "[-4.93295479-0.571909j   -0.94315443+0.3323548j  -0.43113805+0.95941678j\n",
      " -0.40500315+0.86013773j] 444\n",
      "[-4.93252776-0.56884239j -0.93247223+0.36124167j -0.43243238+0.96396974j\n",
      " -0.40376334+0.85606281j] 445\n",
      "[-4.93206162-0.56551074j -0.92090552+0.38978587j -0.43375062+0.96848745j\n",
      " -0.40250866+0.85205718j] 446\n",
      "[-4.93155604-0.56191435j -0.90846527+0.41796035j -0.43509435+0.97296445j\n",
      " -0.40123849+0.8481244j ] 447\n",
      "[-4.93101074-0.55805353j -0.89516329+0.44573836j -0.43646499+0.97739519j\n",
      " -0.39995234+0.84426801j] 448\n",
      "[-4.93042551-0.55392858j -0.88101219+0.47309356j -0.43786385+0.98177399j\n",
      " -0.39864988+0.84049147j] 449\n",
      "[-4.92980022-0.54953977j -0.8660254 +0.5j        -0.43929209+0.9860951j\n",
      " -0.39733092+0.83679823j] 450\n",
      "[-4.92913484-0.54488737j -0.85021714+0.52643216j -0.4407507 +0.99035266j\n",
      " -0.39599542+0.83319164j] 451\n",
      "[-4.92842946-0.53997163j -0.83360238+0.55236497j -0.44224046+0.99454071j\n",
      " -0.39464351+0.82967506j] 452\n",
      "[-4.92768432-0.53479277j -0.81619691+0.57777383j -0.44376196+0.99865325j\n",
      " -0.39327547+0.82625175j] 453\n",
      "[-4.92689984-0.52935101j -0.79801723+0.60263464j -0.44531557+1.00268417j\n",
      " -0.39189173+0.82292492j] 454\n",
      "[-4.92607663-0.52364656j -0.77908057+0.62692381j -0.44690141+1.00662732j\n",
      " -0.39049292+0.81969774j] 455\n",
      "[-4.92521552-0.51767961j -0.75940492+0.6506183j  -0.44851933+1.01047649j\n",
      " -0.38907981+0.8165733j ] 456\n",
      "[-4.92431761-0.51145038j -0.73900892+0.67369564j -0.45016892+1.01422546j\n",
      " -0.38765337+0.81355461j] 457\n",
      "[-4.92338426-0.50495909j -0.71791192+0.69613395j -0.45184946+1.01786797j\n",
      " -0.38621471+0.81064463j] 458\n",
      "[-4.92241715-0.49820603j -0.69613395+0.71791192j -0.45355991+1.02139779j\n",
      " -0.38476513+0.80784622j] 459\n",
      "[-4.92141829-0.49119151j -0.67369564+0.73900892j -0.45529894+1.02480869j\n",
      " -0.38330612+0.80516215j] 460\n",
      "[-4.92039007-0.48391595j -0.6506183 +0.75940492j -0.45706482+1.02809453j\n",
      " -0.38183933+0.8025951j ] 461\n",
      "[-4.91933525-0.47637989j -0.62692381+0.77908057j -0.45885553+1.03124919j\n",
      " -0.38036659+0.80014765j] 462\n",
      "[-4.918257  -0.46858398j -0.60263464+0.79801723j -0.46066865+1.0342667j\n",
      " -0.3788899 +0.79782226j] 463\n",
      "[-4.91715895-0.4605291j  -0.57777383+0.81619691j -0.46250139+1.03714121j\n",
      " -0.37741145+0.79562129j] 464\n",
      "[-4.91604515-0.45221633j -0.55236497+0.83360239j -0.46435061+1.03986702j\n",
      " -0.37593357+0.79354693j] 465\n",
      "[-4.91492015-0.44364704j -0.52643216+0.85021714j -0.46621276+1.04243866j\n",
      " -0.37445878+0.79160126j] 466\n",
      "[-4.91378894-0.43482291j -0.5       +0.8660254j  -0.46808394+1.04485087j\n",
      " -0.37298976+0.78978622j] 467\n",
      "[-4.91265702-0.42574603j -0.47309356+0.88101219j -0.46995986+1.04709867j\n",
      " -0.37152934+0.78810355j] 468\n",
      "[-4.91153035-0.41641888j -0.44573836+0.89516329j -0.47183589+1.04917739j\n",
      " -0.37008051+0.78655485j] 469\n",
      "[-4.91041534-0.4068445j  -0.41796034+0.90846527j -0.47370703+1.0510827j\n",
      " -0.3686464 +0.78514154j] 470\n",
      "[-4.90931888-0.39702645j -0.38978587+0.92090552j -0.47556796+1.05281067j\n",
      " -0.36723025+0.78386482j] 471\n",
      "[-4.90824825-0.38696893j -0.36124167+0.93247223j -0.47741304+1.05435776j\n",
      " -0.36583546+0.78272571j] 472\n",
      "[-4.90721112-0.37667683j -0.3323548 +0.94315443j -0.47923636+1.05572091j\n",
      " -0.36446552+0.781725j  ] 473\n",
      "[-4.9062155 -0.36615578j -0.30315267+0.952942j   -0.48103177+1.05689754j\n",
      " -0.36312401+0.78086328j] 474\n",
      "[-4.90526968-0.35541222j -0.27366299+0.96182564j -0.48279287+1.0578856j\n",
      " -0.36181461+0.78014089j] 475\n",
      "[-4.90438216-0.34445345j -0.24391372+0.96979694j -0.48451311+1.05868358j\n",
      " -0.36054105+0.77955791j] 476\n",
      "[-4.90356159-0.33328767j -0.21393308+0.97684832j -0.48618582+1.05929054j\n",
      " -0.35930712+0.77911422j] 477\n",
      "[-4.90281666-0.32192402j -0.18374952+0.9829731j  -0.48780423+1.05970614j\n",
      " -0.35811663+0.7788094j ] 478\n",
      "[-4.90215606-0.31037262j -0.15339165+0.98816547j -0.48936156+1.05993064j\n",
      " -0.35697341+0.77864281j] 479\n",
      "[-4.9015883 -0.29864457j -0.12288829+0.99242051j -0.49085104+1.0599649j\n",
      " -0.35588128+0.77861351j] 480\n",
      "[-4.90112172-0.28675195j -0.09226836+0.99573418j -0.49226598+1.05981042j\n",
      " -0.35484401+0.77872035j] 481\n",
      "[-4.90076427-0.27470784j -0.06156091+0.99810333j -0.49359985+1.05946929j\n",
      " -0.35386534+0.77896187j] 482\n",
      "[-4.90052349-0.26252628j -0.03079506+0.99952572j -0.49484629+1.05894421j\n",
      " -0.3529489 +0.77933639j] 483\n",
      "[-1.64138214+1.00596236j -0.99573418+0.09226836j  0.40898017-0.93348128j\n",
      "  0.42632206-0.88376231j] 484\n",
      "[-1.64248556+1.00471817j -0.99242051+0.12288829j  0.40587514-0.94185364j\n",
      "  0.4289491 -0.87563295j] 485\n",
      "[-1.64389569+1.00311964j -0.98816547+0.15339166j  0.4027244 -0.95022998j\n",
      "  0.43148917-0.86756842j] 486\n",
      "[-1.64560621+1.00116766j -0.9829731 +0.18374952j  0.39953433-0.95860261j\n",
      "  0.43393875-0.85957593j] 487\n",
      "[ 1.64138214-1.00596236j  0.99573418-0.09226836j -0.40898017+0.93348128j\n",
      " -0.42632206+0.88376231j] 532\n",
      "[ 1.64248556-1.00471817j  0.99242051-0.12288829j -0.40587514+0.94185364j\n",
      " -0.4289491 +0.87563295j] 533\n",
      "[ 1.64389569-1.00311964j  0.98816547-0.15339166j -0.4027244 +0.95022998j\n",
      " -0.43148917+0.86756842j] 534\n",
      "[ 1.64560621-1.00116766j  0.9829731 -0.18374952j -0.39953433+0.95860261j\n",
      " -0.43393875+0.85957593j] 535\n",
      "[ 1.64760951-0.99886334j  0.97684832-0.21393308j -0.39631147+0.96696391j\n",
      " -0.43629476+0.85166252j] 536\n",
      "[ 1.64989675-0.99620801j  0.96979694-0.24391372j -0.39306246+0.97530627j\n",
      " -0.43855457+0.84383508j] 537\n",
      "[ 1.65245792-0.99320327j  0.96182564-0.27366299j -0.38979404+0.98362218j\n",
      " -0.44071598+0.83610026j] 538\n",
      "[ 1.65528193-0.98985096j  0.952942  -0.30315267j -0.386513  +0.99190422j\n",
      " -0.44277724+0.82846452j] 539\n",
      "[ 1.65835668-0.98615321j  0.94315443-0.3323548j  -0.38322613+1.00014504j\n",
      " -0.44473702+0.82093408j] 540\n",
      "[ 1.66166913-0.98211245j  0.93247223-0.36124167j -0.37994022+1.00833739j\n",
      " -0.44659445+0.8135149j ] 541\n",
      "[ 1.66520547-0.97773139j  0.92090552-0.38978587j -0.37666201+1.01647416j\n",
      " -0.44834905+0.80621268j] 542\n",
      "[ 1.66895109-0.97301307j  0.90846527-0.41796034j -0.37339818+1.02454831j\n",
      " -0.45000075+0.79903285j] 543\n",
      "[ 1.67289077-0.96796086j  0.89516329-0.44573836j -0.37015529+1.03255295j\n",
      " -0.45154984+0.79198056j] 544\n",
      "[ 1.67700873-0.96257845j  0.88101219-0.47309356j -0.36693982+1.04048128j\n",
      " -0.452997  +0.78506067j] 545\n",
      "[ 1.68128873-0.95686988j  0.8660254 -0.5j        -0.36375807+1.04832664j\n",
      " -0.45434322+0.77827776j] 546\n",
      "[ 1.68571413-0.95083953j  0.85021714-0.52643216j -0.36061623+1.05608248j\n",
      " -0.45558981+0.77163611j] 547\n",
      "[ 1.69026802-0.94449213j  0.83360239-0.55236497j -0.3575203 +1.06374238j\n",
      " -0.45673835+0.76513971j] 548\n",
      "[ 1.69493325-0.93783276j  0.81619691-0.57777383j -0.35447611+1.0713j\n",
      " -0.4577907 +0.75879228j] 549\n",
      "[ 1.69969255-0.93086683j  0.79801723-0.60263464j -0.3514893 +1.07874916j\n",
      " -0.45874894+0.75259724j] 550\n",
      "[ 1.70452856-0.92360011j  0.77908057-0.62692381j -0.34856532+1.08608376j\n",
      " -0.45961535+0.74655778j] 551\n",
      "[ 1.7094239 -0.91603869j  0.75940492-0.6506183j  -0.34570941+1.0932978j\n",
      " -0.46039239+0.74067677j] 552\n",
      "[ 1.71436127-0.90818901j  0.73900892-0.67369564j -0.34292661+1.10038539j\n",
      " -0.46108268+0.73495689j] 553\n",
      "[ 1.71932343-0.90005784j  0.71791192-0.69613395j -0.34022174+1.10734073j\n",
      " -0.46168897+0.72940054j] 554\n",
      "[ 1.72429333-0.89165224j  0.69613395-0.71791192j -0.3375994 +1.11415811j\n",
      " -0.46221411+0.72400991j] 555\n",
      "[ 1.7292541 -0.88297961j  0.67369564-0.73900892j -0.33506401+1.12083189j\n",
      " -0.46266106+0.71878698j] 556\n",
      "[ 1.73418909-0.87404763j  0.6506183 -0.75940492j -0.33261973+1.12735652j\n",
      " -0.46303281+0.71373353j] 557\n",
      "[ 1.73908194-0.86486431j  0.62692381-0.77908057j -0.33027053+1.13372652j\n",
      " -0.46333244+0.70885115j] 558\n",
      "[ 1.7439166 -0.85543791j  0.60263464-0.79801723j -0.32802015+1.13993645j\n",
      " -0.46356302+0.70414128j] 559\n",
      "[ 1.74867731-0.84577699j  0.57777383-0.81619691j -0.32587212+1.14598095j\n",
      " -0.46372768+0.69960519j] 560\n",
      "[ 1.75334869-0.83589038j  0.55236497-0.83360239j -0.32382976+1.15185471j\n",
      " -0.46382952+0.69524402j] 561\n",
      "[ 1.75791575-0.82578717j  0.52643216-0.85021714j -0.32189615+1.15755247j\n",
      " -0.46387163+0.69105878j] 562\n",
      "[ 1.76236387-0.81547672j  0.5       -0.8660254j  -0.32007419+1.16306899j\n",
      " -0.46385711+0.68705038j] 563\n",
      "[ 1.76667884-0.80496862j  0.47309356-0.88101219j -0.31836653+1.1683991j\n",
      " -0.463789  +0.68321962j] 564\n",
      "[ 1.7708469 -0.79427271j  0.44573836-0.89516329j -0.31677564+1.17353766j\n",
      " -0.46367031+0.67956725j] 565\n",
      "[ 1.77485472-0.78339907j  0.41796034-0.90846527j -0.31530375+1.17847953j\n",
      " -0.46350399+0.67609392j] 566\n",
      "[ 1.77868941-0.77235803j  0.38978587-0.92090552j -0.3139529 +1.18321964j\n",
      " -0.46329296+0.67280025j] 567\n",
      "[ 1.78233858-0.76116011j  0.36124167-0.93247223j -0.31272491+1.18775294j\n",
      " -0.46304004+0.66968679j] 568\n",
      "[ 1.78579028-0.74981607j  0.3323548 -0.94315443j -0.31162139+1.19207438j\n",
      " -0.46274803+0.6667541j ] 569\n",
      "[ 1.78903307-0.73833689j  0.30315267-0.952942j   -0.31064374+1.19617897j\n",
      " -0.46241963+0.6640027j ] 570\n",
      "[ 1.792056  -0.72673374j  0.27366299-0.96182564j -0.30979316+1.20006172j\n",
      " -0.46205746+0.6614331j ] 571\n",
      "[ 1.79484864-0.715018j    0.24391372-0.96979694j -0.30907063+1.20371768j\n",
      " -0.46166407+0.65904582j] 572\n",
      "[ 1.79740107-0.70320125j  0.21393308-0.97684832j -0.30847694+1.20714191j\n",
      " -0.46124195+0.65684142j] 573\n",
      "[ 1.79970388-0.69129525j  0.18374952-0.9829731j  -0.30801265+1.21032952j\n",
      " -0.46079347+0.65482045j] 574\n",
      "[ 1.80174824-0.67931196j  0.15339165-0.98816547j -0.30767814+1.21327563j\n",
      " -0.46032093+0.65298351j] 575\n",
      "[ 1.80352584-0.66726351j  0.12288829-0.99242051j -0.30747357+1.2159754j\n",
      " -0.45982654+0.65133127j] 576\n",
      "[ 1.80502894-0.65516219j  0.09226836-0.99573418j -0.3073989 +1.21842402j\n",
      " -0.45931244+0.64986443j] 577\n",
      "[ 1.80625038-0.64302047j  0.06156091-0.99810333j -0.30745388+1.22061672j\n",
      " -0.45878064+0.64858377j] 578\n",
      "[ 1.80718358-0.63085096j  0.03079506-0.99952572j -0.30763807+1.22254876j\n",
      " -0.4582331 +0.64749012j] 579\n",
      "[ 2.97468281-0.90583674j  0.31997636+4.0969564j  -0.51951491+0.41320238j\n",
      " -0.00609405-0.66306211j] 580\n",
      "[ 3.00595413-1.02520362j  0.59447149+4.2477583j  -0.53961873+0.39996404j\n",
      " -0.01750147-0.66903339j] 581\n",
      "[-2.97468281+0.90583674j -0.31997636-4.0969564j   0.51951491-0.41320238j\n",
      "  0.00609405+0.66306211j] 582\n",
      "[-3.00595413+1.02520362j -0.59447149-4.2477583j   0.53961873-0.39996404j\n",
      "  0.01750147+0.66903339j] 583\n",
      "[-4.74224394-0.82638704j -3.63464221-1.90946841j -0.67560355+0.70336773j\n",
      " -0.42284652+0.45668955j] 584\n",
      "[-4.75607085-0.84208321j -3.76058264-1.75964913j -0.68502374+0.71842382j\n",
      " -0.41700808+0.44864087j] 585\n",
      "[-4.77180867-0.85783953j -3.88411834-1.59888263j -0.69389015+0.73403637j\n",
      " -0.4115915 +0.44057058j] 586\n",
      "[-4.78950685-0.8734127j  -4.00416958-1.42680888j -0.70214366+0.75016421j\n",
      " -0.40659205+0.4324906j ] 587\n",
      "[-4.80918603-0.88855684j -4.11959736-1.24317102j -0.70973218+0.76675952j\n",
      " -0.40200188+0.42441308j] 588\n",
      "[4.74224394+0.82638704j 3.63464221+1.90946841j 0.67560355-0.70336773j\n",
      " 0.42284652-0.45668955j] 589\n",
      "[4.75607085+0.84208321j 3.76058264+1.75964913j 0.68502374-0.71842382j\n",
      " 0.41700808-0.44864087j] 590\n",
      "[4.77180867+0.85783953j 3.88411834+1.59888263j 0.69389015-0.73403637j\n",
      " 0.4115915 -0.44057058j] 591\n",
      "[4.78950685+0.8734127j  4.00416958+1.42680888j 0.70214366-0.75016421j\n",
      " 0.40659205-0.4324906j ] 592\n",
      "[4.80918603+0.88855684j 4.11959736+1.24317102j 0.70973218-0.76675952j\n",
      " 0.40200188-0.42441308j] 593\n"
     ]
    }
   ],
   "source": [
    "normal_points_selected = []\n",
    "normal_params_selected = []\n",
    "for j, p in enumerate(bug_points) :\n",
    "    if((p[0].real < -1.4) and (p[0].real > -2) and (p[0].imag > 0.2) and (p[0].imag < 1.0)):\n",
    "        normal_points_selected.append(p)\n",
    "        normal_params_selected.append(bug_params[j])\n",
    "    else:\n",
    "        print(p, j)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 1.59421652-0.24896098j -0.99573418+0.09226836j -0.42261053+0.87425499j\n",
      " -0.41250032+0.94359802j] 0\n",
      "[ 1.59631446-0.24983243j -0.99242051+0.12288829j -0.42399394+0.86318828j\n",
      " -0.4104937 +0.95537111j] 1\n",
      "[ 1.5989784 -0.25096427j -0.98816547+0.15339165j -0.42530055+0.85233086j\n",
      " -0.40839429+0.96712281j] 2\n",
      "[ 1.6021844 -0.25236434j -0.9829731 +0.18374952j -0.42653474+0.84170379j\n",
      " -0.40620378+0.97882216j] 3\n",
      "[ 1.60590435-0.25404146j -0.97684832+0.21393308j -0.42770108+0.83132564j\n",
      " -0.40392483+0.99043906j] 4\n",
      "[ 1.6101066 -0.25600508j -0.96979694+0.24391372j -0.42880422+0.82121236j\n",
      " -0.40156096+1.00194465j] 5\n",
      "[ 1.61475653-0.25826494j -0.96182564+0.27366299j -0.42984883+0.81137739j\n",
      " -0.39911654+1.01331154j] 6\n",
      "[ 1.61981729-0.26083068j -0.952942  +0.30315267j -0.43083951+0.80183168j\n",
      " -0.39659668+1.02451405j] 7\n",
      "[ 1.62525033-0.26371154j -0.94315443+0.3323548j  -0.43178077+0.7925838j\n",
      " -0.39400715+1.03552836j] 8\n",
      "[ 1.63101606-0.26691611j -0.93247223+0.36124167j -0.43267696+0.78364019j\n",
      " -0.39135425+1.04633259j] 9\n",
      "[ 1.63707435-0.27045207j -0.92090552+0.38978587j -0.43353226+0.77500524j\n",
      " -0.38864474+1.05690684j] 10\n",
      "[ 1.64338507-0.27432602j -0.90846527+0.41796034j -0.43435068+0.76668157j\n",
      " -0.3858857 +1.06723318j] 11\n",
      "[ 1.64990844-0.27854336j -0.89516329+0.44573836j -0.43513602+0.75867025j\n",
      " -0.38308447+1.07729564j] 12\n",
      "[ 1.65660547-0.28310818j -0.88101219+0.47309356j -0.43589184+0.75097094j\n",
      " -0.38024852+1.08708006j] 13\n",
      "[ 1.66343819-0.28802326j -0.8660254 +0.5j        -0.43662154+0.74358215j\n",
      " -0.37738541+1.09657406j] 14\n",
      "[ 1.67036993-0.29329j    -0.85021714+0.52643216j -0.43732827+0.73650143j\n",
      " -0.37450271+1.10576692j] 15\n",
      "[ 1.67736548-0.29890849j -0.83360239+0.55236497j -0.43801498+0.72972553j\n",
      " -0.37160791+1.11464942j] 16\n",
      "[ 1.68439121-0.30487751j -0.81619691+0.57777383j -0.43868439+0.72325053j\n",
      " -0.36870844+1.12321375j] 17\n",
      "[ 1.6914152 -0.31119459j -0.79801723+0.60263464j -0.43933905+0.71707206j\n",
      " -0.36581157+1.13145338j] 18\n",
      "[ 1.69840726-0.3178561j  -0.77908057+0.62692381j -0.43998129+0.71118535j\n",
      " -0.36292442+1.13936297j] 19\n",
      "[ 1.70533897-0.32485728j -0.75940492+0.6506183j  -0.44061323+0.70558538j\n",
      " -0.36005391+1.14693819j] 20\n",
      "[ 1.71218368-0.33219237j -0.73900892+0.67369564j -0.44123683+0.70026695j\n",
      " -0.35720677+1.15417567j] 21\n",
      "[ 1.71891651-0.33985464j -0.71791192+0.69613395j -0.44185384+0.6952248j\n",
      " -0.35438954+1.16107291j] 22\n",
      "[ 1.72551427-0.34783649j -0.69613395+0.71791192j -0.44246584+0.6904536j\n",
      " -0.3516085 +1.16762813j] 23\n",
      "[ 1.73195547-0.35612953j -0.67369564+0.73900892j -0.44307423+0.6859481j\n",
      " -0.34886976+1.17384026j] 24\n",
      "[ 1.73822024-0.36472464j -0.6506183 +0.75940492j -0.44368025+0.6817031j\n",
      " -0.34617917+1.17970882j] 25\n",
      "[ 1.7442903 -0.37361208j -0.62692381+0.77908057j -0.44428497+0.67771351j\n",
      " -0.34354238+1.18523388j] 26\n",
      "[ 1.75014887-0.38278148j -0.60263464+0.79801723j -0.44488931+0.6739744j\n",
      " -0.34096482+1.190416j  ] 27\n",
      "[ 1.75578064-0.392222j   -0.57777383+0.81619691j -0.44549403+0.67048098j\n",
      " -0.33845171+1.19525615j] 28\n",
      "[ 1.76117169-0.40192232j -0.55236497+0.83360239j -0.44609975+0.66722867j\n",
      " -0.33600804+1.1997557j ] 29\n",
      "[ 1.76630945-0.41187069j -0.52643216+0.85021714j -0.44670693+0.66421306j\n",
      " -0.33363861+1.20391638j] 30\n",
      "[ 1.77118261-0.42205506j -0.5       +0.8660254j  -0.44731592+0.66142994j\n",
      " -0.331348  +1.20774022j] 31\n",
      "[ 1.77578111-0.43246302j -0.47309356+0.88101219j -0.44792691+0.65887531j\n",
      " -0.32914061+1.21122953j] 32\n",
      "[ 1.78009606-0.44308193j -0.44573836+0.89516329j -0.44853997+0.65654538j\n",
      " -0.3270206 +1.21438689j] 33\n",
      "[ 1.78411968-0.45389891j -0.41796035+0.90846527j -0.44915504+0.65443658j\n",
      " -0.32499196+1.21721508j] 34\n",
      "[ 1.78784527-0.4649009j  -0.38978587+0.92090552j -0.44977196+0.65254552j\n",
      " -0.32305847+1.21971713j] 35\n",
      "[ 1.79126719-0.4760747j  -0.36124167+0.93247223j -0.45039041+0.65086902j\n",
      " -0.32122374+1.22189622j] 36\n",
      "[ 1.79438074-0.48740697j -0.3323548 +0.94315443j -0.45100999+0.64940411j\n",
      " -0.31949115+1.22375572j] 37\n",
      "[ 1.7971822 -0.49888429j -0.30315267+0.952942j   -0.45163017+0.64814802j\n",
      " -0.31786389+1.22529916j] 38\n",
      "[ 1.79966876-0.51049318j -0.27366299+0.96182564j -0.4522503 +0.64709813j\n",
      " -0.31634499+1.22653022j] 39\n",
      "[ 1.80183848-0.52222011j -0.24391372+0.96979694j -0.45286965+0.64625205j\n",
      " -0.31493725+1.2274527j ] 40\n",
      "[ 1.80369025-0.53405156j -0.21393308+0.97684832j -0.45348735+0.64560753j\n",
      " -0.3136433 +1.22807052j] 41\n",
      "[ 1.80522381-0.54597397j -0.18374952+0.9829731j  -0.45410244+0.64516249j\n",
      " -0.31246556+1.22838771j] 42\n",
      "[ 1.80643966-0.55797385j -0.15339165+0.98816547j -0.45471387+0.64491502j\n",
      " -0.31140626+1.22840842j] 43\n",
      "[ 1.80733905-0.57003774j -0.12288829+0.99242051j -0.45532046+0.64486337j\n",
      " -0.31046744+1.22813687j] 44\n",
      "[ 1.80792399-0.58215222j -0.09226836+0.99573418j -0.45592094+0.6450059j\n",
      " -0.30965094+1.22757737j] 45\n",
      "[ 1.80819718-0.59430397j -0.06156091+0.99810333j -0.45651397+0.64534114j\n",
      " -0.3089584 +1.22673432j] 46\n",
      "[ 1.80816202-0.60647975j -0.03079506+0.99952572j -0.45709806+0.64586774j\n",
      " -0.30839128+1.22561217j] 47\n",
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      "[-1.59631446+0.24983243j  0.99242051-0.12288829j  0.42399394-0.86318828j\n",
      "  0.4104937 -0.95537111j] 49\n",
      "[-1.5989784 +0.25096427j  0.98816547-0.15339165j  0.42530055-0.85233086j\n",
      "  0.40839429-0.96712281j] 50\n",
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      "  0.40620378-0.97882216j] 51\n",
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      "  0.40392483-0.99043906j] 52\n",
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      "  0.40156096-1.00194465j] 53\n",
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      "  0.39911654-1.01331154j] 54\n",
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      "  0.39659668-1.02451405j] 55\n",
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      "  0.39400715-1.03552836j] 56\n",
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      "  0.39135425-1.04633259j] 57\n",
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      "  0.38864474-1.05690684j] 58\n",
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      "  0.3858857 -1.06723318j] 59\n",
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      "  0.38308447-1.07729564j] 60\n",
      "[-1.65660547+0.28310818j  0.88101219-0.47309356j  0.43589184-0.75097094j\n",
      "  0.38024852-1.08708006j] 61\n",
      "[-1.66343819+0.28802326j  0.8660254 -0.5j         0.43662154-0.74358215j\n",
      "  0.37738541-1.09657406j] 62\n",
      "[-1.67036993+0.29329j     0.85021714-0.52643216j  0.43732827-0.73650143j\n",
      "  0.37450271-1.10576692j] 63\n",
      "[-1.67736548+0.29890849j  0.83360239-0.55236497j  0.43801498-0.72972553j\n",
      "  0.37160791-1.11464942j] 64\n",
      "[-1.68439121+0.30487751j  0.81619691-0.57777383j  0.43868439-0.72325053j\n",
      "  0.36870844-1.12321375j] 65\n",
      "[-1.6914152 +0.31119459j  0.79801723-0.60263464j  0.43933905-0.71707206j\n",
      "  0.36581157-1.13145338j] 66\n",
      "[-1.69840726+0.3178561j   0.77908057-0.62692381j  0.43998129-0.71118535j\n",
      "  0.36292442-1.13936297j] 67\n",
      "[-1.70533897+0.32485728j  0.75940492-0.6506183j   0.44061323-0.70558538j\n",
      "  0.36005391-1.14693819j] 68\n",
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      "  0.35720677-1.15417567j] 69\n",
      "[-1.71891651+0.33985464j  0.71791192-0.69613395j  0.44185384-0.6952248j\n",
      "  0.35438954-1.16107291j] 70\n",
      "[-1.72551427+0.34783649j  0.69613395-0.71791192j  0.44246584-0.6904536j\n",
      "  0.3516085 -1.16762813j] 71\n",
      "[-1.73195547+0.35612953j  0.67369564-0.73900892j  0.44307423-0.6859481j\n",
      "  0.34886976-1.17384026j] 72\n",
      "[-1.73822024+0.36472464j  0.6506183 -0.75940492j  0.44368025-0.6817031j\n",
      "  0.34617917-1.17970882j] 73\n",
      "[-1.7442903 +0.37361208j  0.62692381-0.77908057j  0.44428497-0.67771351j\n",
      "  0.34354238-1.18523388j] 74\n",
      "[-1.75014887+0.38278148j  0.60263464-0.79801723j  0.44488931-0.6739744j\n",
      "  0.34096482-1.190416j  ] 75\n",
      "[-1.75578064+0.392222j    0.57777383-0.81619691j  0.44549403-0.67048098j\n",
      "  0.33845171-1.19525615j] 76\n",
      "[-1.76117169+0.40192232j  0.55236497-0.83360239j  0.44609975-0.66722867j\n",
      "  0.33600804-1.1997557j ] 77\n",
      "[-1.76630945+0.41187069j  0.52643216-0.85021714j  0.44670693-0.66421306j\n",
      "  0.33363861-1.20391638j] 78\n",
      "[-1.77118261+0.42205506j  0.5       -0.8660254j   0.44731592-0.66142994j\n",
      "  0.331348  -1.20774022j] 79\n",
      "[-1.77578111+0.43246302j  0.47309356-0.88101219j  0.44792691-0.65887531j\n",
      "  0.32914061-1.21122953j] 80\n",
      "[-1.78009606+0.44308193j  0.44573836-0.89516329j  0.44853997-0.65654538j\n",
      "  0.3270206 -1.21438689j] 81\n",
      "[-1.78411968+0.45389891j  0.41796035-0.90846527j  0.44915504-0.65443658j\n",
      "  0.32499196-1.21721508j] 82\n",
      "[-1.78784527+0.4649009j   0.38978587-0.92090552j  0.44977196-0.65254552j\n",
      "  0.32305847-1.21971713j] 83\n",
      "[-1.79126719+0.4760747j   0.36124167-0.93247223j  0.45039041-0.65086902j\n",
      "  0.32122374-1.22189622j] 84\n",
      "[-1.79438074+0.48740697j  0.3323548 -0.94315443j  0.45100999-0.64940411j\n",
      "  0.31949115-1.22375572j] 85\n",
      "[-1.7971822 +0.49888429j  0.30315267-0.952942j    0.45163017-0.64814802j\n",
      "  0.31786389-1.22529916j] 86\n",
      "[-1.79966876+0.51049318j  0.27366299-0.96182564j  0.4522503 -0.64709813j\n",
      "  0.31634499-1.22653022j] 87\n",
      "[-1.80183848+0.52222011j  0.24391372-0.96979694j  0.45286965-0.64625205j\n",
      "  0.31493725-1.2274527j ] 88\n",
      "[-1.80369025+0.53405156j  0.21393308-0.97684832j  0.45348735-0.64560753j\n",
      "  0.3136433 -1.22807052j] 89\n",
      "[-1.80522381+0.54597397j  0.18374952-0.9829731j   0.45410244-0.64516249j\n",
      "  0.31246556-1.22838771j] 90\n",
      "[-1.80643966+0.55797385j  0.15339165-0.98816547j  0.45471387-0.64491502j\n",
      "  0.31140626-1.22840842j] 91\n",
      "[-1.80733905+0.57003774j  0.12288829-0.99242051j  0.45532046-0.64486337j\n",
      "  0.31046744-1.22813687j] 92\n",
      "[-1.80792399+0.58215222j  0.09226836-0.99573418j  0.45592094-0.6450059j\n",
      "  0.30965094-1.22757737j] 93\n",
      "[-1.80819718+0.59430397j  0.06156091-0.99810333j  0.45651397-0.64534114j\n",
      "  0.3089584 -1.22673432j] 94\n",
      "[-1.80816202+0.60647975j  0.03079506-0.99952572j  0.45709806-0.64586774j\n",
      "  0.30839128-1.22561217j] 95\n",
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      "  0.33963164+0.09300476j] 96\n",
      "[-1.92996148+0.02443602j  0.0134877 +0.01517738j  0.34616126+0.06240246j\n",
      "  0.33847774+0.09724293j] 97\n",
      "[-1.92880788+0.02388133j  0.0139674 +0.01475056j  0.34686084+0.05791127j\n",
      "  0.33727177+0.10144445j] 98\n",
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      "  0.33601486+0.10560835j] 99\n",
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      "  0.33470814+0.10973366j] 100\n",
      "[-1.92381559+0.02149171j  0.01534774+0.01337281j  0.34858939+0.04428694j\n",
      "  0.33335276+0.1138195j ] 101\n",
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      "  0.33194989+0.11786499j] 102\n",
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      "  0.33050068+0.12186931j] 103\n",
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      "  0.32900634+0.1258317j ] 104\n",
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      "  0.32746803+0.12975139j] 105\n",
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      "  0.32588696+0.13362771j] 106\n",
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      "  0.32426433+0.13745998j] 107\n",
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      "  0.32260132+0.1412476j ] 108\n",
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      "  0.32089915+0.14498998j] 109\n",
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      "  0.319159  +0.14868661j] 110\n",
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      "  0.31738207+0.15233698j] 111\n",
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      "  0.31556955+0.15594063j] 112\n",
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      "  0.31372262+0.15949717j] 113\n",
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      "  0.31184246+0.16300621j] 114\n",
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      "  0.30993024+0.16646743j] 115\n",
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      "  0.30798711+0.16988052j] 116\n",
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      "  0.30601421+0.17324525j] 117\n",
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      "  0.30401268+0.17656138j] 118\n",
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      "  0.30198364+0.17982875j] 119\n",
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      "  0.29992818+0.18304721j] 120\n",
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      "  0.29784738+0.18621665j] 121\n",
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      "  0.34386782-5.42050901e-02j  0.29574233+1.89337019e-01j] 122\n",
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      "  0.29361405+0.19240828j] 123\n",
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      "  0.29146359+0.19543042j] 124\n",
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      "  0.28929194+0.1984035j ] 125\n",
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      "  0.28488901+0.20420278j] 127\n",
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      "  0.28265964+0.20702921j] 128\n",
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      "  0.27814964+0.21253653j] 130\n",
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      "  0.27587078+0.21521783j] 131\n",
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      "  0.27357714+0.21785124j] 132\n",
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      "  0.24999441+0.2416267j ] 142\n",
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      "[ 4.98082212-0.16470768j -0.9829731 +0.18374952j  0.40135426-0.88820664j\n",
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      "[ 4.97981903-0.16220706j -0.97684832+0.21393308j  0.39869323-0.88488045j\n",
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      "[ 4.97439424-0.14839422j -0.94315443+0.3323548j   0.38846811-0.87174855j\n",
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      "[ 4.96259488-0.11643587j -0.8660254 +0.5j         0.37470538-0.85268294j\n",
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      "[ 4.96028708-0.10983136j -0.85021714+0.52643216j  0.37263036-0.84959519j\n",
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      "[ 4.93990196-0.04464959j -0.69613395+0.71791192j  0.35871933-0.8261229j\n",
      "  0.485691  -0.9984532j ] 263\n",
      "[ 4.93726722-0.03505706j -0.67369564+0.73900892j  0.3573486 -0.82337466j\n",
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      "[ 4.90700526+0.12425763j -0.30315267+0.952942j    0.34788018-0.79152614j\n",
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      "[ 4.90128955+0.20010942j -0.12288829+0.99242051j  0.34941991-0.78312801j\n",
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      "  0.18267349-0.27836882j] 345\n",
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      "  0.19216018-0.27249624j] 348\n",
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      "  0.20794215-0.2617576j ] 353\n",
      "[-1.14675625-1.40314957e-01j -0.02627515-6.65390715e-06j\n",
      "  0.16141963+2.95682016e-01j  0.21108725-2.59463993e-01j] 354\n",
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      "  0.25407962-0.22204853j] 368\n",
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      "  0.25703383-0.21898941j] 369\n",
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      "  0.25996621-0.21587826j] 370\n",
      "[-1.40119927-0.12920371j -0.02242804+0.00977811j  0.20348927+0.27535772j\n",
      "  0.26287548-0.21271511j] 371\n",
      "[-1.41518367-0.12758715j -0.02209792+0.01026185j  0.20595984+0.27390626j\n",
      "  0.26576034-0.20950003j] 372\n",
      "[-1.42904003-0.12586975j -0.02175844+0.01073496j  0.20842926+0.27242245j\n",
      "  0.26861947-0.20623313j] 373\n",
      "[-1.44276541-0.12405342j -0.0214099 +0.01119741j  0.21089736+0.27090564j\n",
      "  0.27145151-0.20291454j] 374\n",
      "[-1.45635689-0.12214025j -0.02105256+0.01164921j  0.21336393+0.26935518j\n",
      "  0.2742551 -0.19954446j] 375\n",
      "[-1.46981155-0.12013256j -0.02068671+0.01209033j  0.21582878+0.26777044j\n",
      "  0.27702886-0.19612311j] 376\n",
      "[-1.4831265 -0.11803279j -0.0203126 +0.01252077j  0.21829167+0.26615075j\n",
      "  0.2797714 -0.19265077j] 377\n",
      "[-1.49629888-0.11584361j -0.01993046+0.01294054j  0.22075238+0.26449547j\n",
      "  0.28248131-0.18912775j] 378\n",
      "[-1.50932583-0.11356783j -0.01954055+0.01334963j  0.22321063+0.26280396j\n",
      "  0.28515717-0.18555442j] 379\n",
      "[-1.52220452-0.11120845j -0.01914309+0.01374805j  0.22566614+0.26107557j\n",
      "  0.28779756-0.18193119j] 380\n",
      "[-1.53493214-0.10876862j -0.0187383 +0.0141358j   0.22811862+0.25930966j\n",
      "  0.29040104-0.17825852j] 381\n",
      "[-1.54750591-0.10625167j -0.01832639+0.01451288j  0.23056775+0.25750561j\n",
      "  0.29296617-0.17453693j] 382\n",
      "[-1.55992306-0.10366106j -0.01790756+0.0148793j   0.23301318+0.25566278j\n",
      "  0.29549153-0.170767j  ] 383\n",
      "[-1.57218085-0.10100041j -0.017482  +0.01523506j  0.23545455+0.25378057j\n",
      "  0.29797567-0.16694932j] 384\n",
      "[-1.58427656-0.09827349j -0.0170499 +0.01558015j  0.23789149+0.25185835j\n",
      "  0.30041718-0.16308459j] 385\n",
      "[-1.59620749-0.09548418j -0.01661143+0.01591459j  0.24032357+0.24989553j\n",
      "  0.30281462-0.15917352j] 386\n",
      "[-1.60797098-0.0926365j  -0.01616678+0.01623837j  0.24275037+0.24789153j\n",
      "  0.30516659-0.1552169j ] 387\n",
      "[4.93500537+0.58686467j 0.99573418-0.09226836j 0.42143047-0.92234471j\n",
      " 0.4145026 -0.8947873j ] 388\n",
      "[4.93487876+0.58592875j 0.99242051-0.12288829j 0.42259872-0.92699564j\n",
      " 0.41334445-0.89029236j] 389\n",
      "[4.93471565+0.58472566j 0.98816547-0.15339165j 0.42377599-0.93165128j\n",
      " 0.41218075-0.88583639j] 390\n",
      "[4.93451581+0.5832556j  0.9829731 -0.18374952j 0.42496424-0.93630696j\n",
      " 0.41100998-0.88142337j] 391\n",
      "[4.93427895+0.58151878j 0.97684832-0.21393308j 0.42616543-0.94095796j\n",
      " 0.40983069-0.87705722j] 392\n",
      "[4.93400477+0.57951543j 0.96979694-0.24391372j 0.42738151-0.94559943j\n",
      " 0.40864155-0.8727418j ] 393\n",
      "[4.93369293+0.57724582j 0.96182564-0.27366299j 0.4286144 -0.95022643j\n",
      " 0.40744131-0.86848091j] 394\n",
      "[4.93334306+0.57471024j 0.952942  -0.30315267j 0.42986597-0.95483393j\n",
      " 0.40622884-0.86427831j] 395\n",
      "[4.93295479+0.571909j   0.94315443-0.3323548j  0.43113805-0.95941678j\n",
      " 0.40500315-0.86013773j] 396\n",
      "[4.93252776+0.56884239j 0.93247223-0.36124167j 0.43243238-0.96396974j\n",
      " 0.40376334-0.85606281j] 397\n",
      "[4.93206162+0.56551074j 0.92090552-0.38978587j 0.43375062-0.96848745j\n",
      " 0.40250866-0.85205718j] 398\n",
      "[4.93155604+0.56191435j 0.90846527-0.41796035j 0.43509435-0.97296445j\n",
      " 0.40123849-0.8481244j ] 399\n",
      "[4.93101074+0.55805353j 0.89516329-0.44573836j 0.43646499-0.97739519j\n",
      " 0.39995234-0.84426801j] 400\n",
      "[4.93042551+0.55392858j 0.88101219-0.47309356j 0.43786385-0.98177399j\n",
      " 0.39864988-0.84049147j] 401\n",
      "[4.92980022+0.54953977j 0.8660254 -0.5j        0.43929209-0.9860951j\n",
      " 0.39733092-0.83679823j] 402\n",
      "[4.92913484+0.54488737j 0.85021714-0.52643216j 0.4407507 -0.99035266j\n",
      " 0.39599542-0.83319164j] 403\n",
      "[4.92842946+0.53997163j 0.83360238-0.55236497j 0.44224046-0.99454071j\n",
      " 0.39464351-0.82967506j] 404\n",
      "[4.92768432+0.53479277j 0.81619691-0.57777383j 0.44376196-0.99865325j\n",
      " 0.39327547-0.82625175j] 405\n",
      "[4.92689984+0.52935101j 0.79801723-0.60263464j 0.44531557-1.00268417j\n",
      " 0.39189173-0.82292492j] 406\n",
      "[4.92607663+0.52364656j 0.77908057-0.62692381j 0.44690141-1.00662732j\n",
      " 0.39049292-0.81969774j] 407\n",
      "[4.92521552+0.51767961j 0.75940492-0.6506183j  0.44851933-1.01047649j\n",
      " 0.38907981-0.8165733j ] 408\n",
      "[4.92431761+0.51145038j 0.73900892-0.67369564j 0.45016892-1.01422546j\n",
      " 0.38765337-0.81355461j] 409\n",
      "[4.92338426+0.50495909j 0.71791192-0.69613395j 0.45184946-1.01786797j\n",
      " 0.38621471-0.81064463j] 410\n",
      "[4.92241715+0.49820603j 0.69613395-0.71791192j 0.45355991-1.02139779j\n",
      " 0.38476513-0.80784622j] 411\n",
      "[4.92141829+0.49119151j 0.67369564-0.73900892j 0.45529894-1.02480869j\n",
      " 0.38330612-0.80516215j] 412\n",
      "[4.92039007+0.48391595j 0.6506183 -0.75940492j 0.45706482-1.02809453j\n",
      " 0.38183933-0.8025951j ] 413\n",
      "[4.91933525+0.47637989j 0.62692381-0.77908057j 0.45885553-1.03124919j\n",
      " 0.38036659-0.80014765j] 414\n",
      "[4.918257  +0.46858398j 0.60263464-0.79801723j 0.46066865-1.0342667j\n",
      " 0.3788899 -0.79782226j] 415\n",
      "[4.91715895+0.4605291j  0.57777383-0.81619691j 0.46250139-1.03714121j\n",
      " 0.37741145-0.79562129j] 416\n",
      "[4.91604515+0.45221633j 0.55236497-0.83360239j 0.46435061-1.03986702j\n",
      " 0.37593357-0.79354693j] 417\n",
      "[4.91492015+0.44364704j 0.52643216-0.85021714j 0.46621276-1.04243866j\n",
      " 0.37445878-0.79160126j] 418\n",
      "[4.91378894+0.43482291j 0.5       -0.8660254j  0.46808394-1.04485087j\n",
      " 0.37298976-0.78978622j] 419\n",
      "[4.91265702+0.42574603j 0.47309356-0.88101219j 0.46995986-1.04709867j\n",
      " 0.37152934-0.78810355j] 420\n",
      "[4.91153035+0.41641888j 0.44573836-0.89516329j 0.47183589-1.04917739j\n",
      " 0.37008051-0.78655485j] 421\n",
      "[4.91041534+0.4068445j  0.41796034-0.90846527j 0.47370703-1.0510827j\n",
      " 0.3686464 -0.78514154j] 422\n",
      "[4.90931888+0.39702645j 0.38978587-0.92090552j 0.47556796-1.05281067j\n",
      " 0.36723025-0.78386482j] 423\n",
      "[4.90824825+0.38696893j 0.36124167-0.93247223j 0.47741304-1.05435776j\n",
      " 0.36583546-0.78272571j] 424\n",
      "[4.90721112+0.37667683j 0.3323548 -0.94315443j 0.47923636-1.05572091j\n",
      " 0.36446552-0.781725j  ] 425\n",
      "[4.9062155 +0.36615578j 0.30315267-0.952942j   0.48103177-1.05689754j\n",
      " 0.36312401-0.78086328j] 426\n",
      "[4.90526968+0.35541222j 0.27366299-0.96182564j 0.48279287-1.0578856j\n",
      " 0.36181461-0.78014089j] 427\n",
      "[4.90438216+0.34445345j 0.24391372-0.96979694j 0.48451311-1.05868358j\n",
      " 0.36054105-0.77955791j] 428\n",
      "[4.90356159+0.33328767j 0.21393308-0.97684832j 0.48618582-1.05929054j\n",
      " 0.35930712-0.77911422j] 429\n",
      "[4.90281666+0.32192402j 0.18374952-0.9829731j  0.48780423-1.05970614j\n",
      " 0.35811663-0.7788094j ] 430\n",
      "[4.90215606+0.31037262j 0.15339165-0.98816547j 0.48936156-1.05993064j\n",
      " 0.35697341-0.77864281j] 431\n",
      "[4.9015883 +0.29864457j 0.12288829-0.99242051j 0.49085104-1.0599649j\n",
      " 0.35588128-0.77861351j] 432\n",
      "[4.90112172+0.28675195j 0.09226836-0.99573418j 0.49226598-1.05981042j\n",
      " 0.35484401-0.77872035j] 433\n",
      "[4.90076427+0.27470784j 0.06156091-0.99810333j 0.49359985-1.05946929j\n",
      " 0.35386534-0.77896187j] 434\n",
      "[4.90052349+0.26252628j 0.03079506-0.99952572j 0.49484629-1.05894421j\n",
      " 0.3529489 -0.77933639j] 435\n",
      "[-4.93500537-0.58686467j -0.99573418+0.09226836j -0.42143047+0.92234471j\n",
      " -0.4145026 +0.8947873j ] 436\n",
      "[-4.93487876-0.58592875j -0.99242051+0.12288829j -0.42259872+0.92699564j\n",
      " -0.41334445+0.89029236j] 437\n",
      "[-4.93471565-0.58472566j -0.98816547+0.15339165j -0.42377599+0.93165128j\n",
      " -0.41218075+0.88583639j] 438\n",
      "[-4.93451581-0.5832556j  -0.9829731 +0.18374952j -0.42496424+0.93630696j\n",
      " -0.41100998+0.88142337j] 439\n",
      "[-4.93427895-0.58151878j -0.97684832+0.21393308j -0.42616543+0.94095796j\n",
      " -0.40983069+0.87705722j] 440\n",
      "[-4.93400477-0.57951543j -0.96979694+0.24391372j -0.42738151+0.94559943j\n",
      " -0.40864155+0.8727418j ] 441\n",
      "[-4.93369293-0.57724582j -0.96182564+0.27366299j -0.4286144 +0.95022643j\n",
      " -0.40744131+0.86848091j] 442\n",
      "[-4.93334306-0.57471024j -0.952942  +0.30315267j -0.42986597+0.95483393j\n",
      " -0.40622884+0.86427831j] 443\n",
      "[-4.93295479-0.571909j   -0.94315443+0.3323548j  -0.43113805+0.95941678j\n",
      " -0.40500315+0.86013773j] 444\n",
      "[-4.93252776-0.56884239j -0.93247223+0.36124167j -0.43243238+0.96396974j\n",
      " -0.40376334+0.85606281j] 445\n",
      "[-4.93206162-0.56551074j -0.92090552+0.38978587j -0.43375062+0.96848745j\n",
      " -0.40250866+0.85205718j] 446\n",
      "[-4.93155604-0.56191435j -0.90846527+0.41796035j -0.43509435+0.97296445j\n",
      " -0.40123849+0.8481244j ] 447\n",
      "[-4.93101074-0.55805353j -0.89516329+0.44573836j -0.43646499+0.97739519j\n",
      " -0.39995234+0.84426801j] 448\n",
      "[-4.93042551-0.55392858j -0.88101219+0.47309356j -0.43786385+0.98177399j\n",
      " -0.39864988+0.84049147j] 449\n",
      "[-4.92980022-0.54953977j -0.8660254 +0.5j        -0.43929209+0.9860951j\n",
      " -0.39733092+0.83679823j] 450\n",
      "[-4.92913484-0.54488737j -0.85021714+0.52643216j -0.4407507 +0.99035266j\n",
      " -0.39599542+0.83319164j] 451\n",
      "[-4.92842946-0.53997163j -0.83360238+0.55236497j -0.44224046+0.99454071j\n",
      " -0.39464351+0.82967506j] 452\n",
      "[-4.92768432-0.53479277j -0.81619691+0.57777383j -0.44376196+0.99865325j\n",
      " -0.39327547+0.82625175j] 453\n",
      "[-4.92689984-0.52935101j -0.79801723+0.60263464j -0.44531557+1.00268417j\n",
      " -0.39189173+0.82292492j] 454\n",
      "[-4.92607663-0.52364656j -0.77908057+0.62692381j -0.44690141+1.00662732j\n",
      " -0.39049292+0.81969774j] 455\n",
      "[-4.92521552-0.51767961j -0.75940492+0.6506183j  -0.44851933+1.01047649j\n",
      " -0.38907981+0.8165733j ] 456\n",
      "[-4.92431761-0.51145038j -0.73900892+0.67369564j -0.45016892+1.01422546j\n",
      " -0.38765337+0.81355461j] 457\n",
      "[-4.92338426-0.50495909j -0.71791192+0.69613395j -0.45184946+1.01786797j\n",
      " -0.38621471+0.81064463j] 458\n",
      "[-4.92241715-0.49820603j -0.69613395+0.71791192j -0.45355991+1.02139779j\n",
      " -0.38476513+0.80784622j] 459\n",
      "[-4.92141829-0.49119151j -0.67369564+0.73900892j -0.45529894+1.02480869j\n",
      " -0.38330612+0.80516215j] 460\n",
      "[-4.92039007-0.48391595j -0.6506183 +0.75940492j -0.45706482+1.02809453j\n",
      " -0.38183933+0.8025951j ] 461\n",
      "[-4.91933525-0.47637989j -0.62692381+0.77908057j -0.45885553+1.03124919j\n",
      " -0.38036659+0.80014765j] 462\n",
      "[-4.918257  -0.46858398j -0.60263464+0.79801723j -0.46066865+1.0342667j\n",
      " -0.3788899 +0.79782226j] 463\n",
      "[-4.91715895-0.4605291j  -0.57777383+0.81619691j -0.46250139+1.03714121j\n",
      " -0.37741145+0.79562129j] 464\n",
      "[-4.91604515-0.45221633j -0.55236497+0.83360239j -0.46435061+1.03986702j\n",
      " -0.37593357+0.79354693j] 465\n",
      "[-4.91492015-0.44364704j -0.52643216+0.85021714j -0.46621276+1.04243866j\n",
      " -0.37445878+0.79160126j] 466\n",
      "[-4.91378894-0.43482291j -0.5       +0.8660254j  -0.46808394+1.04485087j\n",
      " -0.37298976+0.78978622j] 467\n",
      "[-4.91265702-0.42574603j -0.47309356+0.88101219j -0.46995986+1.04709867j\n",
      " -0.37152934+0.78810355j] 468\n",
      "[-4.91153035-0.41641888j -0.44573836+0.89516329j -0.47183589+1.04917739j\n",
      " -0.37008051+0.78655485j] 469\n",
      "[-4.91041534-0.4068445j  -0.41796034+0.90846527j -0.47370703+1.0510827j\n",
      " -0.3686464 +0.78514154j] 470\n",
      "[-4.90931888-0.39702645j -0.38978587+0.92090552j -0.47556796+1.05281067j\n",
      " -0.36723025+0.78386482j] 471\n",
      "[-4.90824825-0.38696893j -0.36124167+0.93247223j -0.47741304+1.05435776j\n",
      " -0.36583546+0.78272571j] 472\n",
      "[-4.90721112-0.37667683j -0.3323548 +0.94315443j -0.47923636+1.05572091j\n",
      " -0.36446552+0.781725j  ] 473\n",
      "[-4.9062155 -0.36615578j -0.30315267+0.952942j   -0.48103177+1.05689754j\n",
      " -0.36312401+0.78086328j] 474\n",
      "[-4.90526968-0.35541222j -0.27366299+0.96182564j -0.48279287+1.0578856j\n",
      " -0.36181461+0.78014089j] 475\n",
      "[-4.90438216-0.34445345j -0.24391372+0.96979694j -0.48451311+1.05868358j\n",
      " -0.36054105+0.77955791j] 476\n",
      "[-4.90356159-0.33328767j -0.21393308+0.97684832j -0.48618582+1.05929054j\n",
      " -0.35930712+0.77911422j] 477\n",
      "[-4.90281666-0.32192402j -0.18374952+0.9829731j  -0.48780423+1.05970614j\n",
      " -0.35811663+0.7788094j ] 478\n",
      "[-4.90215606-0.31037262j -0.15339165+0.98816547j -0.48936156+1.05993064j\n",
      " -0.35697341+0.77864281j] 479\n",
      "[-4.9015883 -0.29864457j -0.12288829+0.99242051j -0.49085104+1.0599649j\n",
      " -0.35588128+0.77861351j] 480\n",
      "[-4.90112172-0.28675195j -0.09226836+0.99573418j -0.49226598+1.05981042j\n",
      " -0.35484401+0.77872035j] 481\n",
      "[-4.90076427-0.27470784j -0.06156091+0.99810333j -0.49359985+1.05946929j\n",
      " -0.35386534+0.77896187j] 482\n",
      "[-4.90052349-0.26252628j -0.03079506+0.99952572j -0.49484629+1.05894421j\n",
      " -0.3529489 +0.77933639j] 483\n",
      "[-1.64138214+1.00596236j -0.99573418+0.09226836j  0.40898017-0.93348128j\n",
      "  0.42632206-0.88376231j] 484\n",
      "[-1.64248556+1.00471817j -0.99242051+0.12288829j  0.40587514-0.94185364j\n",
      "  0.4289491 -0.87563295j] 485\n",
      "[-1.64389569+1.00311964j -0.98816547+0.15339166j  0.4027244 -0.95022998j\n",
      "  0.43148917-0.86756842j] 486\n",
      "[-1.64560621+1.00116766j -0.9829731 +0.18374952j  0.39953433-0.95860261j\n",
      "  0.43393875-0.85957593j] 487\n",
      "[-1.64760951+0.99886334j -0.97684832+0.21393308j  0.39631147-0.96696391j\n",
      "  0.43629476-0.85166252j] 488\n",
      "[-1.64989675+0.99620801j -0.96979694+0.24391372j  0.39306246-0.97530627j\n",
      "  0.43855457-0.84383508j] 489\n",
      "[-1.65245792+0.99320327j -0.96182564+0.27366299j  0.38979404-0.98362218j\n",
      "  0.44071598-0.83610026j] 490\n",
      "[-1.65528193+0.98985096j -0.952942  +0.30315267j  0.386513  -0.99190422j\n",
      "  0.44277724-0.82846452j] 491\n",
      "[-1.65835668+0.98615321j -0.94315443+0.3323548j   0.38322613-1.00014504j\n",
      "  0.44473702-0.82093408j] 492\n",
      "[-1.66166913+0.98211245j -0.93247223+0.36124167j  0.37994022-1.00833739j\n",
      "  0.44659445-0.8135149j ] 493\n",
      "[-1.66520547+0.97773139j -0.92090552+0.38978587j  0.37666201-1.01647416j\n",
      "  0.44834905-0.80621268j] 494\n",
      "[-1.66895109+0.97301307j -0.90846527+0.41796034j  0.37339818-1.02454831j\n",
      "  0.45000075-0.79903285j] 495\n",
      "[-1.67289077+0.96796086j -0.89516329+0.44573836j  0.37015529-1.03255295j\n",
      "  0.45154984-0.79198056j] 496\n",
      "[-1.67700873+0.96257845j -0.88101219+0.47309356j  0.36693982-1.04048128j\n",
      "  0.452997  -0.78506067j] 497\n",
      "[-1.68128873+0.95686988j -0.8660254 +0.5j         0.36375807-1.04832664j\n",
      "  0.45434322-0.77827776j] 498\n",
      "[-1.68571413+0.95083953j -0.85021714+0.52643216j  0.36061623-1.05608248j\n",
      "  0.45558981-0.77163611j] 499\n",
      "[-1.69026802+0.94449213j -0.83360239+0.55236497j  0.3575203 -1.06374238j\n",
      "  0.45673835-0.76513971j] 500\n",
      "[-1.69493325+0.93783276j -0.81619691+0.57777383j  0.35447611-1.0713j\n",
      "  0.4577907 -0.75879228j] 501\n",
      "[-1.69969255+0.93086683j -0.79801723+0.60263464j  0.3514893 -1.07874916j\n",
      "  0.45874894-0.75259724j] 502\n",
      "[-1.70452856+0.92360011j -0.77908057+0.62692381j  0.34856532-1.08608376j\n",
      "  0.45961535-0.74655778j] 503\n",
      "[-1.7094239 +0.91603869j -0.75940492+0.6506183j   0.34570941-1.0932978j\n",
      "  0.46039239-0.74067677j] 504\n",
      "[-1.71436127+0.90818901j -0.73900892+0.67369564j  0.34292661-1.10038539j\n",
      "  0.46108268-0.73495689j] 505\n",
      "[-1.71932343+0.90005784j -0.71791192+0.69613395j  0.34022174-1.10734073j\n",
      "  0.46168897-0.72940054j] 506\n",
      "[-1.72429333+0.89165224j -0.69613395+0.71791192j  0.3375994 -1.11415811j\n",
      "  0.46221411-0.72400991j] 507\n",
      "[-1.7292541 +0.88297961j -0.67369564+0.73900892j  0.33506401-1.12083189j\n",
      "  0.46266106-0.71878698j] 508\n",
      "[-1.73418909+0.87404763j -0.6506183 +0.75940492j  0.33261973-1.12735652j\n",
      "  0.46303281-0.71373353j] 509\n",
      "[-1.73908194+0.86486431j -0.62692381+0.77908057j  0.33027053-1.13372652j\n",
      "  0.46333244-0.70885115j] 510\n",
      "[-1.7439166 +0.85543791j -0.60263464+0.79801723j  0.32802015-1.13993645j\n",
      "  0.46356302-0.70414128j] 511\n",
      "[-1.74867731+0.84577699j -0.57777383+0.81619691j  0.32587212-1.14598095j\n",
      "  0.46372768-0.69960519j] 512\n",
      "[-1.75334869+0.83589038j -0.55236497+0.83360239j  0.32382976-1.15185471j\n",
      "  0.46382952-0.69524402j] 513\n",
      "[-1.75791575+0.82578717j -0.52643216+0.85021714j  0.32189615-1.15755247j\n",
      "  0.46387163-0.69105878j] 514\n",
      "[-1.76236387+0.81547672j -0.5       +0.8660254j   0.32007419-1.16306899j\n",
      "  0.46385711-0.68705038j] 515\n",
      "[-1.76667884+0.80496862j -0.47309356+0.88101219j  0.31836653-1.1683991j\n",
      "  0.463789  -0.68321962j] 516\n",
      "[-1.7708469 +0.79427271j -0.44573836+0.89516329j  0.31677564-1.17353766j\n",
      "  0.46367031-0.67956725j] 517\n",
      "[-1.77485472+0.78339907j -0.41796034+0.90846527j  0.31530375-1.17847953j\n",
      "  0.46350399-0.67609392j] 518\n",
      "[-1.77868941+0.77235803j -0.38978587+0.92090552j  0.3139529 -1.18321964j\n",
      "  0.46329296-0.67280025j] 519\n",
      "[-1.78233858+0.76116011j -0.36124167+0.93247223j  0.31272491-1.18775294j\n",
      "  0.46304004-0.66968679j] 520\n",
      "[-1.78579028+0.74981607j -0.3323548 +0.94315443j  0.31162139-1.19207438j\n",
      "  0.46274803-0.6667541j ] 521\n",
      "[-1.78903307+0.73833689j -0.30315267+0.952942j    0.31064374-1.19617897j\n",
      "  0.46241963-0.6640027j ] 522\n",
      "[-1.792056  +0.72673374j -0.27366299+0.96182564j  0.30979316-1.20006172j\n",
      "  0.46205746-0.6614331j ] 523\n",
      "[-1.79484864+0.715018j   -0.24391372+0.96979694j  0.30907063-1.20371768j\n",
      "  0.46166407-0.65904582j] 524\n",
      "[-1.79740107+0.70320125j -0.21393308+0.97684832j  0.30847694-1.20714191j\n",
      "  0.46124195-0.65684142j] 525\n",
      "[-1.79970388+0.69129525j -0.18374952+0.9829731j   0.30801265-1.21032952j\n",
      "  0.46079347-0.65482045j] 526\n",
      "[-1.80174824+0.67931196j -0.15339165+0.98816547j  0.30767814-1.21327563j\n",
      "  0.46032093-0.65298351j] 527\n",
      "[-1.80352584+0.66726351j -0.12288829+0.99242051j  0.30747357-1.2159754j\n",
      "  0.45982654-0.65133127j] 528\n",
      "[-1.80502894+0.65516219j -0.09226836+0.99573418j  0.3073989 -1.21842402j\n",
      "  0.45931244-0.64986443j] 529\n",
      "[-1.80625038+0.64302047j -0.06156091+0.99810333j  0.30745388-1.22061672j\n",
      "  0.45878064-0.64858377j] 530\n",
      "[-1.80718358+0.63085096j -0.03079506+0.99952572j  0.30763807-1.22254876j\n",
      "  0.4582331 -0.64749012j] 531\n",
      "[ 1.64138214-1.00596236j  0.99573418-0.09226836j -0.40898017+0.93348128j\n",
      " -0.42632206+0.88376231j] 532\n",
      "[ 1.64248556-1.00471817j  0.99242051-0.12288829j -0.40587514+0.94185364j\n",
      " -0.4289491 +0.87563295j] 533\n",
      "[ 1.64389569-1.00311964j  0.98816547-0.15339166j -0.4027244 +0.95022998j\n",
      " -0.43148917+0.86756842j] 534\n",
      "[ 1.64560621-1.00116766j  0.9829731 -0.18374952j -0.39953433+0.95860261j\n",
      " -0.43393875+0.85957593j] 535\n",
      "[ 1.64760951-0.99886334j  0.97684832-0.21393308j -0.39631147+0.96696391j\n",
      " -0.43629476+0.85166252j] 536\n",
      "[ 1.64989675-0.99620801j  0.96979694-0.24391372j -0.39306246+0.97530627j\n",
      " -0.43855457+0.84383508j] 537\n",
      "[ 1.65245792-0.99320327j  0.96182564-0.27366299j -0.38979404+0.98362218j\n",
      " -0.44071598+0.83610026j] 538\n",
      "[ 1.65528193-0.98985096j  0.952942  -0.30315267j -0.386513  +0.99190422j\n",
      " -0.44277724+0.82846452j] 539\n",
      "[ 1.65835668-0.98615321j  0.94315443-0.3323548j  -0.38322613+1.00014504j\n",
      " -0.44473702+0.82093408j] 540\n",
      "[ 1.66166913-0.98211245j  0.93247223-0.36124167j -0.37994022+1.00833739j\n",
      " -0.44659445+0.8135149j ] 541\n",
      "[ 1.66520547-0.97773139j  0.92090552-0.38978587j -0.37666201+1.01647416j\n",
      " -0.44834905+0.80621268j] 542\n",
      "[ 1.66895109-0.97301307j  0.90846527-0.41796034j -0.37339818+1.02454831j\n",
      " -0.45000075+0.79903285j] 543\n",
      "[ 1.67289077-0.96796086j  0.89516329-0.44573836j -0.37015529+1.03255295j\n",
      " -0.45154984+0.79198056j] 544\n",
      "[ 1.67700873-0.96257845j  0.88101219-0.47309356j -0.36693982+1.04048128j\n",
      " -0.452997  +0.78506067j] 545\n",
      "[ 1.68128873-0.95686988j  0.8660254 -0.5j        -0.36375807+1.04832664j\n",
      " -0.45434322+0.77827776j] 546\n",
      "[ 1.68571413-0.95083953j  0.85021714-0.52643216j -0.36061623+1.05608248j\n",
      " -0.45558981+0.77163611j] 547\n",
      "[ 1.69026802-0.94449213j  0.83360239-0.55236497j -0.3575203 +1.06374238j\n",
      " -0.45673835+0.76513971j] 548\n",
      "[ 1.69493325-0.93783276j  0.81619691-0.57777383j -0.35447611+1.0713j\n",
      " -0.4577907 +0.75879228j] 549\n",
      "[ 1.69969255-0.93086683j  0.79801723-0.60263464j -0.3514893 +1.07874916j\n",
      " -0.45874894+0.75259724j] 550\n",
      "[ 1.70452856-0.92360011j  0.77908057-0.62692381j -0.34856532+1.08608376j\n",
      " -0.45961535+0.74655778j] 551\n",
      "[ 1.7094239 -0.91603869j  0.75940492-0.6506183j  -0.34570941+1.0932978j\n",
      " -0.46039239+0.74067677j] 552\n",
      "[ 1.71436127-0.90818901j  0.73900892-0.67369564j -0.34292661+1.10038539j\n",
      " -0.46108268+0.73495689j] 553\n",
      "[ 1.71932343-0.90005784j  0.71791192-0.69613395j -0.34022174+1.10734073j\n",
      " -0.46168897+0.72940054j] 554\n",
      "[ 1.72429333-0.89165224j  0.69613395-0.71791192j -0.3375994 +1.11415811j\n",
      " -0.46221411+0.72400991j] 555\n",
      "[ 1.7292541 -0.88297961j  0.67369564-0.73900892j -0.33506401+1.12083189j\n",
      " -0.46266106+0.71878698j] 556\n",
      "[ 1.73418909-0.87404763j  0.6506183 -0.75940492j -0.33261973+1.12735652j\n",
      " -0.46303281+0.71373353j] 557\n",
      "[ 1.73908194-0.86486431j  0.62692381-0.77908057j -0.33027053+1.13372652j\n",
      " -0.46333244+0.70885115j] 558\n",
      "[ 1.7439166 -0.85543791j  0.60263464-0.79801723j -0.32802015+1.13993645j\n",
      " -0.46356302+0.70414128j] 559\n",
      "[ 1.74867731-0.84577699j  0.57777383-0.81619691j -0.32587212+1.14598095j\n",
      " -0.46372768+0.69960519j] 560\n",
      "[ 1.75334869-0.83589038j  0.55236497-0.83360239j -0.32382976+1.15185471j\n",
      " -0.46382952+0.69524402j] 561\n",
      "[ 1.75791575-0.82578717j  0.52643216-0.85021714j -0.32189615+1.15755247j\n",
      " -0.46387163+0.69105878j] 562\n",
      "[ 1.76236387-0.81547672j  0.5       -0.8660254j  -0.32007419+1.16306899j\n",
      " -0.46385711+0.68705038j] 563\n",
      "[ 1.76667884-0.80496862j  0.47309356-0.88101219j -0.31836653+1.1683991j\n",
      " -0.463789  +0.68321962j] 564\n",
      "[ 1.7708469 -0.79427271j  0.44573836-0.89516329j -0.31677564+1.17353766j\n",
      " -0.46367031+0.67956725j] 565\n",
      "[ 1.77485472-0.78339907j  0.41796034-0.90846527j -0.31530375+1.17847953j\n",
      " -0.46350399+0.67609392j] 566\n",
      "[ 1.77868941-0.77235803j  0.38978587-0.92090552j -0.3139529 +1.18321964j\n",
      " -0.46329296+0.67280025j] 567\n",
      "[ 1.78233858-0.76116011j  0.36124167-0.93247223j -0.31272491+1.18775294j\n",
      " -0.46304004+0.66968679j] 568\n",
      "[ 1.78579028-0.74981607j  0.3323548 -0.94315443j -0.31162139+1.19207438j\n",
      " -0.46274803+0.6667541j ] 569\n",
      "[ 1.78903307-0.73833689j  0.30315267-0.952942j   -0.31064374+1.19617897j\n",
      " -0.46241963+0.6640027j ] 570\n",
      "[ 1.792056  -0.72673374j  0.27366299-0.96182564j -0.30979316+1.20006172j\n",
      " -0.46205746+0.6614331j ] 571\n",
      "[ 1.79484864-0.715018j    0.24391372-0.96979694j -0.30907063+1.20371768j\n",
      " -0.46166407+0.65904582j] 572\n",
      "[ 1.79740107-0.70320125j  0.21393308-0.97684832j -0.30847694+1.20714191j\n",
      " -0.46124195+0.65684142j] 573\n",
      "[ 1.79970388-0.69129525j  0.18374952-0.9829731j  -0.30801265+1.21032952j\n",
      " -0.46079347+0.65482045j] 574\n",
      "[ 1.80174824-0.67931196j  0.15339165-0.98816547j -0.30767814+1.21327563j\n",
      " -0.46032093+0.65298351j] 575\n",
      "[ 1.80352584-0.66726351j  0.12288829-0.99242051j -0.30747357+1.2159754j\n",
      " -0.45982654+0.65133127j] 576\n",
      "[ 1.80502894-0.65516219j  0.09226836-0.99573418j -0.3073989 +1.21842402j\n",
      " -0.45931244+0.64986443j] 577\n",
      "[ 1.80625038-0.64302047j  0.06156091-0.99810333j -0.30745388+1.22061672j\n",
      " -0.45878064+0.64858377j] 578\n",
      "[ 1.80718358-0.63085096j  0.03079506-0.99952572j -0.30763807+1.22254876j\n",
      " -0.4582331 +0.64749012j] 579\n",
      "[ 2.97468281-0.90583674j  0.31997636+4.0969564j  -0.51951491+0.41320238j\n",
      " -0.00609405-0.66306211j] 580\n",
      "[ 3.00595413-1.02520362j  0.59447149+4.2477583j  -0.53961873+0.39996404j\n",
      " -0.01750147-0.66903339j] 581\n",
      "[-2.97468281+0.90583674j -0.31997636-4.0969564j   0.51951491-0.41320238j\n",
      "  0.00609405+0.66306211j] 582\n",
      "[-3.00595413+1.02520362j -0.59447149-4.2477583j   0.53961873-0.39996404j\n",
      "  0.01750147+0.66903339j] 583\n",
      "[-4.74224394-0.82638704j -3.63464221-1.90946841j -0.67560355+0.70336773j\n",
      " -0.42284652+0.45668955j] 584\n",
      "[-4.75607085-0.84208321j -3.76058264-1.75964913j -0.68502374+0.71842382j\n",
      " -0.41700808+0.44864087j] 585\n",
      "[-4.77180867-0.85783953j -3.88411834-1.59888263j -0.69389015+0.73403637j\n",
      " -0.4115915 +0.44057058j] 586\n",
      "[-4.78950685-0.8734127j  -4.00416958-1.42680888j -0.70214366+0.75016421j\n",
      " -0.40659205+0.4324906j ] 587\n",
      "[-4.80918603-0.88855684j -4.11959736-1.24317102j -0.70973218+0.76675952j\n",
      " -0.40200188+0.42441308j] 588\n",
      "[4.74224394+0.82638704j 3.63464221+1.90946841j 0.67560355-0.70336773j\n",
      " 0.42284652-0.45668955j] 589\n",
      "[4.75607085+0.84208321j 3.76058264+1.75964913j 0.68502374-0.71842382j\n",
      " 0.41700808-0.44864087j] 590\n",
      "[4.77180867+0.85783953j 3.88411834+1.59888263j 0.69389015-0.73403637j\n",
      " 0.4115915 -0.44057058j] 591\n",
      "[4.78950685+0.8734127j  4.00416958+1.42680888j 0.70214366-0.75016421j\n",
      " 0.40659205-0.4324906j ] 592\n",
      "[4.80918603+0.88855684j 4.11959736+1.24317102j 0.70973218-0.76675952j\n",
      " 0.40200188-0.42441308j] 593\n"
     ]
    }
   ],
   "source": [
    "bug_points_selected = []\n",
    "bug_params_selected = []\n",
    "for j, p in enumerate(bug_points) :\n",
    "    if((p[0].real < 2.0) and (p[0].real > 0.8) and (p[0].imag > -0.05) and (p[0].imag < 0.15)):\n",
    "        bug_points_selected.append(p)\n",
    "        bug_params_selected.append(bug_params[j])\n",
    "    else:\n",
    "        print(p, j)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f2e396bd3a0>]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.plot(np.asarray(bug_points_selected)[:,0].real, np.asarray(bug_points_selected)[:,0].imag, '.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[array([-1.93085913+0.0248683j ,  0.01299917+0.01558794j,\n",
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      "       -0.18864963-0.28342277j, -0.24509852+0.23091386j]), array([ 1.32946048+0.13571987j,  0.02392736-0.00720113j,\n",
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      "       -0.20101771-0.27677747j, -0.25996621+0.21587826j]), array([ 1.40119927+0.12920371j,  0.02242804-0.00977811j,\n",
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      "       -0.20595984-0.27390626j, -0.26576034+0.20950003j]), array([ 1.42904003+0.12586975j,  0.02175844-0.01073496j,\n",
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      "       -0.21582878-0.26777044j, -0.27702886+0.19612311j]), array([ 1.4831265 +0.11803279j,  0.0203126 -0.01252077j,\n",
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      "       -0.22566614-0.26107557j, -0.28779756+0.18193119j]), array([ 1.53493214+0.10876862j,  0.0187383 -0.0141358j ,\n",
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      "       -0.42616543+0.94095796j, -0.40983069+0.87705722j]), array([-4.93400477-0.57951543j, -0.96979694+0.24391372j,\n",
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      "       -0.43113805+0.95941678j, -0.40500315+0.86013773j]), array([-4.93252776-0.56884239j, -0.93247223+0.36124167j,\n",
      "       -0.43243238+0.96396974j, -0.40376334+0.85606281j]), array([-4.93206162-0.56551074j, -0.92090552+0.38978587j,\n",
      "       -0.43375062+0.96848745j, -0.40250866+0.85205718j]), array([-4.93155604-0.56191435j, -0.90846527+0.41796035j,\n",
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      "       -0.43786385+0.98177399j, -0.39864988+0.84049147j]), array([-4.92980022-0.54953977j, -0.8660254 +0.5j       ,\n",
      "       -0.43929209+0.9860951j , -0.39733092+0.83679823j]), array([-4.92913484-0.54488737j, -0.85021714+0.52643216j,\n",
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      "       -0.44224046+0.99454071j, -0.39464351+0.82967506j]), array([-4.92768432-0.53479277j, -0.81619691+0.57777383j,\n",
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      "       -0.45184946+1.01786797j, -0.38621471+0.81064463j]), array([-4.92241715-0.49820603j, -0.69613395+0.71791192j,\n",
      "       -0.45355991+1.02139779j, -0.38476513+0.80784622j]), array([-4.92141829-0.49119151j, -0.67369564+0.73900892j,\n",
      "       -0.45529894+1.02480869j, -0.38330612+0.80516215j]), array([-4.92039007-0.48391595j, -0.6506183 +0.75940492j,\n",
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      "       -0.45885553+1.03124919j, -0.38036659+0.80014765j]), array([-4.918257  -0.46858398j, -0.60263464+0.79801723j,\n",
      "       -0.46066865+1.0342667j , -0.3788899 +0.79782226j]), array([-4.91715895-0.4605291j , -0.57777383+0.81619691j,\n",
      "       -0.46250139+1.03714121j, -0.37741145+0.79562129j]), array([-4.91604515-0.45221633j, -0.55236497+0.83360239j,\n",
      "       -0.46435061+1.03986702j, -0.37593357+0.79354693j]), array([-4.91492015-0.44364704j, -0.52643216+0.85021714j,\n",
      "       -0.46621276+1.04243866j, -0.37445878+0.79160126j]), array([-4.91378894-0.43482291j, -0.5       +0.8660254j ,\n",
      "       -0.46808394+1.04485087j, -0.37298976+0.78978622j]), array([-4.91265702-0.42574603j, -0.47309356+0.88101219j,\n",
      "       -0.46995986+1.04709867j, -0.37152934+0.78810355j]), array([-4.91153035-0.41641888j, -0.44573836+0.89516329j,\n",
      "       -0.47183589+1.04917739j, -0.37008051+0.78655485j]), array([-4.91041534-0.4068445j , -0.41796034+0.90846527j,\n",
      "       -0.47370703+1.0510827j , -0.3686464 +0.78514154j]), array([-4.90931888-0.39702645j, -0.38978587+0.92090552j,\n",
      "       -0.47556796+1.05281067j, -0.36723025+0.78386482j]), array([-4.90824825-0.38696893j, -0.36124167+0.93247223j,\n",
      "       -0.47741304+1.05435776j, -0.36583546+0.78272571j]), array([-4.90721112-0.37667683j, -0.3323548 +0.94315443j,\n",
      "       -0.47923636+1.05572091j, -0.36446552+0.781725j  ]), array([-4.9062155 -0.36615578j, -0.30315267+0.952942j  ,\n",
      "       -0.48103177+1.05689754j, -0.36312401+0.78086328j]), array([-4.90526968-0.35541222j, -0.27366299+0.96182564j,\n",
      "       -0.48279287+1.0578856j , -0.36181461+0.78014089j]), array([-4.90438216-0.34445345j, -0.24391372+0.96979694j,\n",
      "       -0.48451311+1.05868358j, -0.36054105+0.77955791j]), array([-4.90356159-0.33328767j, -0.21393308+0.97684832j,\n",
      "       -0.48618582+1.05929054j, -0.35930712+0.77911422j]), array([-4.90281666-0.32192402j, -0.18374952+0.9829731j ,\n",
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      "       -0.48936156+1.05993064j, -0.35697341+0.77864281j]), array([-4.9015883 -0.29864457j, -0.12288829+0.99242051j,\n",
      "       -0.49085104+1.0599649j , -0.35588128+0.77861351j]), array([-4.90112172-0.28675195j, -0.09226836+0.99573418j,\n",
      "       -0.49226598+1.05981042j, -0.35484401+0.77872035j]), array([-4.90076427-0.27470784j, -0.06156091+0.99810333j,\n",
      "       -0.49359985+1.05946929j, -0.35386534+0.77896187j]), array([-4.90052349-0.26252628j, -0.03079506+0.99952572j,\n",
      "       -0.49484629+1.05894421j, -0.3529489 +0.77933639j]), array([-4.98292854+0.16990744j,  0.99573418-0.09226836j,\n",
      "       -0.40953955+0.8982757j , -0.42652548+0.91875729j]), array([-4.98237943+0.16855857j,  0.99242051-0.12288829j,\n",
      "       -0.40678059+0.89490502j, -0.4293961 +0.92220769j]), array([-4.98167652+0.16682511j,  0.98816547-0.15339165j,\n",
      "       -0.40405109+0.89154843j, -0.4322684 +0.92566685j]), array([-4.98082212+0.16470768j,  0.9829731 -0.18374952j,\n",
      "       -0.40135426+0.88820664j, -0.43513862+0.92913405j]), array([-4.97981903+0.16220706j,  0.97684832-0.21393308j,\n",
      "       -0.39869323+0.88488045j, -0.4380029 +0.93260857j]), array([-4.9786706 +0.15932418j,  0.96979694-0.24391372j,\n",
      "       -0.39607109+0.88157065j, -0.44085733+0.93608963j]), array([-4.97738068+0.15606016j,  0.96182564-0.27366299j,\n",
      "       -0.39349088+0.87827811j, -0.44369792+0.9395764j ]), array([-4.9759536 +0.15241633j,  0.952942  -0.30315267j,\n",
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      "       -0.38846811+0.87174855j, -0.44932131+0.94656343j]), array([-4.97270796+0.1439956j ,  0.93247223-0.36124167j,\n",
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      "       -0.38364817+0.86529984j, -0.45483973+0.95356164j]), array([-4.96897855+0.13407717j,  0.90846527-0.41796034j,\n",
      "       -0.38132127+0.86210861j, -0.45754885+0.95706202j]), array([-4.96694862+0.12856228j,  0.89516329-0.44573836j,\n",
      "       -0.37905341+0.85894114j, -0.46021873+0.96056149j]), array([-4.96481813+0.12268075j,  0.88101219-0.47309356j,\n",
      "       -0.37684725+0.85579877j, -0.46284491+0.96405856j]), array([-4.96259488+0.11643587j,  0.8660254 -0.5j       ,\n",
      "       -0.37470538+0.85268294j, -0.46542285+0.9675516j ]), array([-4.96028708+0.10983136j,  0.85021714-0.52643216j,\n",
      "       -0.37263036+0.84959519j, -0.467948  +0.97103884j]), array([-4.95790342+0.10287133j,  0.83360239-0.55236497j,\n",
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      "       -0.3686907 +0.84351055j, -0.47282141+0.97798796j]), array([-4.95294522+0.08790359j,  0.79801723-0.60263464j,\n",
      "       -0.36683084+0.84051725j, -0.47516036+0.98144538j]), array([-4.95038999+0.07990659j,  0.77908057-0.62692381j,\n",
      "       -0.36504733+0.83755921j, -0.47742791+0.98488808j]), array([-4.94779746+0.07157557j,  0.75940492-0.6506183j ,\n",
      "       -0.36334238+0.8346385j , -0.47961939+0.98831332j]), array([-4.94517809+0.06291732j,  0.73900892-0.67369564j,\n",
      "       -0.36171807+0.83175732j, -0.48173013+0.9917181j ]), array([-4.94254262+0.05393928j,  0.71791192-0.69613395j,\n",
      "       -0.36017642+0.82891797j, -0.48375552+0.99509922j]), array([-4.93990196+0.04464959j,  0.69613395-0.71791192j,\n",
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      "       -0.3573486 +0.82337466j, -0.48753209+1.00177628j]), array([-4.93464957+0.02517125j,  0.6506183 -0.75940492j,\n",
      "       -0.35606589+0.82067595j, -0.48927441+1.00506446j]), array([-4.93206024+0.0150025j ,  0.62692381-0.77908057j,\n",
      "       -0.35487276+0.81802956j, -0.49091372+1.00831345j]), array([-4.92951043+0.00456192j,  0.60263464-0.79801723j,\n",
      "       -0.35377061+0.81543844j, -0.49244593+1.01151866j]), array([-4.92701122-0.00613858j,  0.57777383-0.81619691j,\n",
      "       -0.35276069+0.81290562j, -0.49386714+1.01467525j]), array([-4.92457354-0.01708628j,  0.55236497-0.83360239j,\n",
      "       -0.3518441 +0.81043427j, -0.49517367+1.01777808j]), array([-4.92220802-0.02826766j,  0.52643216-0.85021714j,\n",
      "       -0.35102174+0.80802766j, -0.49636209+1.02082172j]), array([-4.91992496-0.0396684j ,  0.5       -0.8660254j ,\n",
      "       -0.35029437+0.80568916j, -0.49742926+1.02380051j]), array([-4.91773424-0.05127339j,  0.47309356-0.88101219j,\n",
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      "       -0.34912651+0.80123043j, -0.49918895+1.02953953j]), array([-4.91366659-0.07503198j,  0.41796034-0.90846527j,\n",
      "       -0.34868647+0.79911735j, -0.49987694+1.03228722j]), array([-4.91180645-0.08715176j,  0.38978587-0.92090552j,\n",
      "       -0.34834228+0.79708666j, -0.50043469+1.034945j  ]), array([-4.91007205-0.09940829j,  0.36124167-0.93247223j,\n",
      "       -0.3480936 +0.79514208j, -0.500861  +1.03750616j]), array([-4.90846982-0.11178318j,  0.3323548 -0.94315443j,\n",
      "       -0.34793985+0.79328733j, -0.50115517+1.03996386j]), array([-4.90700526-0.12425763j,  0.30315267-0.952942j  ,\n",
      "       -0.34788018+0.79152614j, -0.501317  +1.04231119j]), array([-4.90568292-0.13681244j,  0.27366299-0.96182564j,\n",
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      "       -0.34803854+0.78829927j, -0.50124546+1.04664697j]), array([-4.90347781-0.16208533j,  0.21393308-0.97684832j,\n",
      "       -0.34825364+0.78684088j, -0.50101439+1.04862166j]), array([-4.90259886-0.17476422j,  0.18374952-0.9829731j ,\n",
      "       -0.348557  +0.7854906j , -0.50065557+1.05045853j]), array([-4.90186971-0.18744536j,  0.15339165-0.98816547j,\n",
      "       -0.34894652+0.78425188j, -0.50017155+1.05215103j]), array([-4.90128955-0.20010942j,  0.12288829-0.99242051j,\n",
      "       -0.34941991+0.78312801j, -0.4995654 +1.05369286j]), array([-4.9008565 -0.21273741j,  0.09226836-0.99573418j,\n",
      "       -0.34997462+0.78212218j, -0.49884073+1.05507799j]), array([-4.90056769-0.22531078j,  0.06156091-0.99810333j,\n",
      "       -0.35060791+0.78123738j, -0.49800167+1.05630074j]), array([-4.90041923-0.23781151j,  0.03079506-0.99952572j,\n",
      "       -0.35131683+0.78047644j, -0.49705282+1.05735584j]), array([4.93500537+0.58686467j, 0.99573418-0.09226836j,\n",
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      "       0.42259872-0.92699564j, 0.41334445-0.89029236j]), array([4.93471565+0.58472566j, 0.98816547-0.15339165j,\n",
      "       0.42377599-0.93165128j, 0.41218075-0.88583639j]), array([4.93451581+0.5832556j , 0.9829731 -0.18374952j,\n",
      "       0.42496424-0.93630696j, 0.41100998-0.88142337j]), array([4.93427895+0.58151878j, 0.97684832-0.21393308j,\n",
      "       0.42616543-0.94095796j, 0.40983069-0.87705722j]), array([4.93400477+0.57951543j, 0.96979694-0.24391372j,\n",
      "       0.42738151-0.94559943j, 0.40864155-0.8727418j ]), array([4.93369293+0.57724582j, 0.96182564-0.27366299j,\n",
      "       0.4286144 -0.95022643j, 0.40744131-0.86848091j]), array([4.93334306+0.57471024j, 0.952942  -0.30315267j,\n",
      "       0.42986597-0.95483393j, 0.40622884-0.86427831j]), array([4.93295479+0.571909j  , 0.94315443-0.3323548j ,\n",
      "       0.43113805-0.95941678j, 0.40500315-0.86013773j]), array([4.93252776+0.56884239j, 0.93247223-0.36124167j,\n",
      "       0.43243238-0.96396974j, 0.40376334-0.85606281j]), array([4.93206162+0.56551074j, 0.92090552-0.38978587j,\n",
      "       0.43375062-0.96848745j, 0.40250866-0.85205718j]), array([4.93155604+0.56191435j, 0.90846527-0.41796035j,\n",
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      "       0.43646499-0.97739519j, 0.39995234-0.84426801j]), array([4.93042551+0.55392858j, 0.88101219-0.47309356j,\n",
      "       0.43786385-0.98177399j, 0.39864988-0.84049147j]), array([4.92980022+0.54953977j, 0.8660254 -0.5j       ,\n",
      "       0.43929209-0.9860951j , 0.39733092-0.83679823j]), array([4.92913484+0.54488737j, 0.85021714-0.52643216j,\n",
      "       0.4407507 -0.99035266j, 0.39599542-0.83319164j]), array([4.92842946+0.53997163j, 0.83360238-0.55236497j,\n",
      "       0.44224046-0.99454071j, 0.39464351-0.82967506j]), array([4.92768432+0.53479277j, 0.81619691-0.57777383j,\n",
      "       0.44376196-0.99865325j, 0.39327547-0.82625175j]), array([4.92689984+0.52935101j, 0.79801723-0.60263464j,\n",
      "       0.44531557-1.00268417j, 0.39189173-0.82292492j]), array([4.92607663+0.52364656j, 0.77908057-0.62692381j,\n",
      "       0.44690141-1.00662732j, 0.39049292-0.81969774j]), array([4.92521552+0.51767961j, 0.75940492-0.6506183j ,\n",
      "       0.44851933-1.01047649j, 0.38907981-0.8165733j ]), array([4.92431761+0.51145038j, 0.73900892-0.67369564j,\n",
      "       0.45016892-1.01422546j, 0.38765337-0.81355461j]), array([4.92338426+0.50495909j, 0.71791192-0.69613395j,\n",
      "       0.45184946-1.01786797j, 0.38621471-0.81064463j]), array([4.92241715+0.49820603j, 0.69613395-0.71791192j,\n",
      "       0.45355991-1.02139779j, 0.38476513-0.80784622j]), array([4.92141829+0.49119151j, 0.67369564-0.73900892j,\n",
      "       0.45529894-1.02480869j, 0.38330612-0.80516215j]), array([4.92039007+0.48391595j, 0.6506183 -0.75940492j,\n",
      "       0.45706482-1.02809453j, 0.38183933-0.8025951j ]), array([4.91933525+0.47637989j, 0.62692381-0.77908057j,\n",
      "       0.45885553-1.03124919j, 0.38036659-0.80014765j]), array([4.918257  +0.46858398j, 0.60263464-0.79801723j,\n",
      "       0.46066865-1.0342667j , 0.3788899 -0.79782226j]), array([4.91715895+0.4605291j , 0.57777383-0.81619691j,\n",
      "       0.46250139-1.03714121j, 0.37741145-0.79562129j]), array([4.91604515+0.45221633j, 0.55236497-0.83360239j,\n",
      "       0.46435061-1.03986702j, 0.37593357-0.79354693j]), array([4.91492015+0.44364704j, 0.52643216-0.85021714j,\n",
      "       0.46621276-1.04243866j, 0.37445878-0.79160126j]), array([4.91378894+0.43482291j, 0.5       -0.8660254j ,\n",
      "       0.46808394-1.04485087j, 0.37298976-0.78978622j]), array([4.91265702+0.42574603j, 0.47309356-0.88101219j,\n",
      "       0.46995986-1.04709867j, 0.37152934-0.78810355j]), array([4.91153035+0.41641888j, 0.44573836-0.89516329j,\n",
      "       0.47183589-1.04917739j, 0.37008051-0.78655485j]), array([4.91041534+0.4068445j , 0.41796034-0.90846527j,\n",
      "       0.47370703-1.0510827j , 0.3686464 -0.78514154j]), array([4.90931888+0.39702645j, 0.38978587-0.92090552j,\n",
      "       0.47556796-1.05281067j, 0.36723025-0.78386482j]), array([4.90824825+0.38696893j, 0.36124167-0.93247223j,\n",
      "       0.47741304-1.05435776j, 0.36583546-0.78272571j]), array([4.90721112+0.37667683j, 0.3323548 -0.94315443j,\n",
      "       0.47923636-1.05572091j, 0.36446552-0.781725j  ]), array([4.9062155 +0.36615578j, 0.30315267-0.952942j  ,\n",
      "       0.48103177-1.05689754j, 0.36312401-0.78086328j]), array([4.90526968+0.35541222j, 0.27366299-0.96182564j,\n",
      "       0.48279287-1.0578856j , 0.36181461-0.78014089j]), array([4.90438216+0.34445345j, 0.24391372-0.96979694j,\n",
      "       0.48451311-1.05868358j, 0.36054105-0.77955791j]), array([4.90356159+0.33328767j, 0.21393308-0.97684832j,\n",
      "       0.48618582-1.05929054j, 0.35930712-0.77911422j]), array([4.90281666+0.32192402j, 0.18374952-0.9829731j ,\n",
      "       0.48780423-1.05970614j, 0.35811663-0.7788094j ]), array([4.90215606+0.31037262j, 0.15339165-0.98816547j,\n",
      "       0.48936156-1.05993064j, 0.35697341-0.77864281j]), array([4.9015883 +0.29864457j, 0.12288829-0.99242051j,\n",
      "       0.49085104-1.0599649j , 0.35588128-0.77861351j]), array([4.90112172+0.28675195j, 0.09226836-0.99573418j,\n",
      "       0.49226598-1.05981042j, 0.35484401-0.77872035j]), array([4.90076427+0.27470784j, 0.06156091-0.99810333j,\n",
      "       0.49359985-1.05946929j, 0.35386534-0.77896187j]), array([4.90052349+0.26252628j, 0.03079506-0.99952572j,\n",
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      "        0.40953955-0.8982757j ,  0.42652548-0.91875729j]), array([ 4.98237943-0.16855857j, -0.99242051+0.12288829j,\n",
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      "        0.39095558-0.87500376j,  0.44652063-0.94306799j]), array([ 4.97439424-0.14839422j, -0.94315443+0.3323548j ,\n",
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      "        0.38364817-0.86529984j,  0.45483973-0.95356164j]), array([ 4.96897855-0.13407717j, -0.90846527+0.41796034j,\n",
      "        0.38132127-0.86210861j,  0.45754885-0.95706202j]), array([ 4.96694862-0.12856228j, -0.89516329+0.44573836j,\n",
      "        0.37905341-0.85894114j,  0.46021873-0.96056149j]), array([ 4.96481813-0.12268075j, -0.88101219+0.47309356j,\n",
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      "        0.36334238-0.8346385j ,  0.47961939-0.98831332j]), array([ 4.94517809-0.06291732j, -0.73900892+0.67369564j,\n",
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      "        0.36017642-0.82891797j,  0.48375552-0.99509922j]), array([ 4.93990196-0.04464959j, -0.69613395+0.71791192j,\n",
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      "        0.3573486 -0.82337466j,  0.48753209-1.00177628j]), array([ 4.93464957-0.02517125j, -0.6506183 +0.75940492j,\n",
      "        0.35606589-0.82067595j,  0.48927441-1.00506446j]), array([ 4.93206024-0.0150025j , -0.62692381+0.77908057j,\n",
      "        0.35487276-0.81802956j,  0.49091372-1.00831345j]), array([ 4.92951043-0.00456192j, -0.60263464+0.79801723j,\n",
      "        0.35377061-0.81543844j,  0.49244593-1.01151866j]), array([ 4.92701122+0.00613858j, -0.57777383+0.81619691j,\n",
      "        0.35276069-0.81290562j,  0.49386714-1.01467525j]), array([ 4.92457354+0.01708628j, -0.55236497+0.83360239j,\n",
      "        0.3518441 -0.81043427j,  0.49517367-1.01777808j]), array([ 4.92220802+0.02826766j, -0.52643216+0.85021714j,\n",
      "        0.35102174-0.80802766j,  0.49636209-1.02082172j]), array([ 4.91992496+0.0396684j , -0.5       +0.8660254j ,\n",
      "        0.35029437-0.80568916j,  0.49742926-1.02380051j]), array([ 4.91773424+0.05127339j, -0.47309356+0.88101219j,\n",
      "        0.34966251-0.80342224j,  0.49837237-1.0267085j ]), array([ 4.91564521+0.06306677j, -0.44573836+0.89516329j,\n",
      "        0.34912651-0.80123043j,  0.49918895-1.02953953j]), array([ 4.91366659+0.07503198j, -0.41796034+0.90846527j,\n",
      "        0.34868647-0.79911735j,  0.49987694-1.03228722j]), array([ 4.91180645+0.08715176j, -0.38978587+0.92090552j,\n",
      "        0.34834228-0.79708666j,  0.50043469-1.034945j  ]), array([ 4.91007205+0.09940829j, -0.36124167+0.93247223j,\n",
      "        0.3480936 -0.79514208j,  0.500861  -1.03750616j]), array([ 4.90846982+0.11178318j, -0.3323548 +0.94315443j,\n",
      "        0.34793985-0.79328733j,  0.50115517-1.03996386j]), array([ 4.90700526+0.12425763j, -0.30315267+0.952942j  ,\n",
      "        0.34788018-0.79152614j,  0.501317  -1.04231119j]), array([ 4.90568292+0.13681244j, -0.27366299+0.96182564j,\n",
      "        0.34791353-0.78986223j,  0.5013468 -1.0445412j ]), array([ 4.90450628+0.1494282j , -0.24391372+0.96979694j,\n",
      "        0.34803854-0.78829927j,  0.50124546-1.04664697j]), array([ 4.90347781+0.16208533j, -0.21393308+0.97684832j,\n",
      "        0.34825364-0.78684088j,  0.50101439-1.04862166j]), array([ 4.90259886+0.17476422j, -0.18374952+0.9829731j ,\n",
      "        0.348557  -0.7854906j ,  0.50065557-1.05045853j]), array([ 4.90186971+0.18744536j, -0.15339165+0.98816547j,\n",
      "        0.34894652-0.78425188j,  0.50017155-1.05215103j]), array([ 4.90128955+0.20010942j, -0.12288829+0.99242051j,\n",
      "        0.34941991-0.78312801j,  0.4995654 -1.05369286j]), array([ 4.9008565 +0.21273741j, -0.09226836+0.99573418j,\n",
      "        0.34997462-0.78212218j,  0.49884073-1.05507799j]), array([ 4.90056769+0.22531078j, -0.06156091+0.99810333j,\n",
      "        0.35060791-0.78123738j,  0.49800167-1.05630074j]), array([ 4.90041923+0.23781151j, -0.03079506+0.99952572j,\n",
      "        0.35131683-0.78047644j,  0.49705282-1.05735584j]), array([ 1.59421652-0.24896098j, -0.99573418+0.09226836j,\n",
      "       -0.42261053+0.87425499j, -0.41250032+0.94359802j]), array([ 1.59631446-0.24983243j, -0.99242051+0.12288829j,\n",
      "       -0.42399394+0.86318828j, -0.4104937 +0.95537111j]), array([ 1.5989784 -0.25096427j, -0.98816547+0.15339165j,\n",
      "       -0.42530055+0.85233086j, -0.40839429+0.96712281j]), array([ 1.6021844 -0.25236434j, -0.9829731 +0.18374952j,\n",
      "       -0.42653474+0.84170379j, -0.40620378+0.97882216j]), array([ 1.60590435-0.25404146j, -0.97684832+0.21393308j,\n",
      "       -0.42770108+0.83132564j, -0.40392483+0.99043906j]), array([ 1.6101066 -0.25600508j, -0.96979694+0.24391372j,\n",
      "       -0.42880422+0.82121236j, -0.40156096+1.00194465j]), array([ 1.61475653-0.25826494j, -0.96182564+0.27366299j,\n",
      "       -0.42984883+0.81137739j, -0.39911654+1.01331154j]), array([ 1.61981729-0.26083068j, -0.952942  +0.30315267j,\n",
      "       -0.43083951+0.80183168j, -0.39659668+1.02451405j]), array([ 1.62525033-0.26371154j, -0.94315443+0.3323548j ,\n",
      "       -0.43178077+0.7925838j , -0.39400715+1.03552836j]), array([ 1.63101606-0.26691611j, -0.93247223+0.36124167j,\n",
      "       -0.43267696+0.78364019j, -0.39135425+1.04633259j]), array([ 1.63707435-0.27045207j, -0.92090552+0.38978587j,\n",
      "       -0.43353226+0.77500524j, -0.38864474+1.05690684j]), array([ 1.64338507-0.27432602j, -0.90846527+0.41796034j,\n",
      "       -0.43435068+0.76668157j, -0.3858857 +1.06723318j]), array([ 1.64990844-0.27854336j, -0.89516329+0.44573836j,\n",
      "       -0.43513602+0.75867025j, -0.38308447+1.07729564j]), array([ 1.65660547-0.28310818j, -0.88101219+0.47309356j,\n",
      "       -0.43589184+0.75097094j, -0.38024852+1.08708006j]), array([ 1.66343819-0.28802326j, -0.8660254 +0.5j       ,\n",
      "       -0.43662154+0.74358215j, -0.37738541+1.09657406j]), array([ 1.67036993-0.29329j   , -0.85021714+0.52643216j,\n",
      "       -0.43732827+0.73650143j, -0.37450271+1.10576692j]), array([ 1.67736548-0.29890849j, -0.83360239+0.55236497j,\n",
      "       -0.43801498+0.72972553j, -0.37160791+1.11464942j]), array([ 1.68439121-0.30487751j, -0.81619691+0.57777383j,\n",
      "       -0.43868439+0.72325053j, -0.36870844+1.12321375j]), array([ 1.6914152 -0.31119459j, -0.79801723+0.60263464j,\n",
      "       -0.43933905+0.71707206j, -0.36581157+1.13145338j]), array([ 1.69840726-0.3178561j , -0.77908057+0.62692381j,\n",
      "       -0.43998129+0.71118535j, -0.36292442+1.13936297j]), array([ 1.70533897-0.32485728j, -0.75940492+0.6506183j ,\n",
      "       -0.44061323+0.70558538j, -0.36005391+1.14693819j]), array([ 1.71218368-0.33219237j, -0.73900892+0.67369564j,\n",
      "       -0.44123683+0.70026695j, -0.35720677+1.15417567j]), array([ 1.71891651-0.33985464j, -0.71791192+0.69613395j,\n",
      "       -0.44185384+0.6952248j , -0.35438954+1.16107291j]), array([ 1.72551427-0.34783649j, -0.69613395+0.71791192j,\n",
      "       -0.44246584+0.6904536j , -0.3516085 +1.16762813j]), array([ 1.73195547-0.35612953j, -0.67369564+0.73900892j,\n",
      "       -0.44307423+0.6859481j , -0.34886976+1.17384026j]), array([ 1.73822024-0.36472464j, -0.6506183 +0.75940492j,\n",
      "       -0.44368025+0.6817031j , -0.34617917+1.17970882j]), array([ 1.7442903 -0.37361208j, -0.62692381+0.77908057j,\n",
      "       -0.44428497+0.67771351j, -0.34354238+1.18523388j]), array([ 1.75014887-0.38278148j, -0.60263464+0.79801723j,\n",
      "       -0.44488931+0.6739744j , -0.34096482+1.190416j  ]), array([ 1.75578064-0.392222j  , -0.57777383+0.81619691j,\n",
      "       -0.44549403+0.67048098j, -0.33845171+1.19525615j]), array([ 1.76117169-0.40192232j, -0.55236497+0.83360239j,\n",
      "       -0.44609975+0.66722867j, -0.33600804+1.1997557j ]), array([ 1.76630945-0.41187069j, -0.52643216+0.85021714j,\n",
      "       -0.44670693+0.66421306j, -0.33363861+1.20391638j]), array([ 1.77118261-0.42205506j, -0.5       +0.8660254j ,\n",
      "       -0.44731592+0.66142994j, -0.331348  +1.20774022j]), array([ 1.77578111-0.43246302j, -0.47309356+0.88101219j,\n",
      "       -0.44792691+0.65887531j, -0.32914061+1.21122953j]), array([ 1.78009606-0.44308193j, -0.44573836+0.89516329j,\n",
      "       -0.44853997+0.65654538j, -0.3270206 +1.21438689j]), array([ 1.78411968-0.45389891j, -0.41796035+0.90846527j,\n",
      "       -0.44915504+0.65443658j, -0.32499196+1.21721508j]), array([ 1.78784527-0.4649009j , -0.38978587+0.92090552j,\n",
      "       -0.44977196+0.65254552j, -0.32305847+1.21971713j]), array([ 1.79126719-0.4760747j , -0.36124167+0.93247223j,\n",
      "       -0.45039041+0.65086902j, -0.32122374+1.22189622j]), array([ 1.79438074-0.48740697j, -0.3323548 +0.94315443j,\n",
      "       -0.45100999+0.64940411j, -0.31949115+1.22375572j]), array([ 1.7971822 -0.49888429j, -0.30315267+0.952942j  ,\n",
      "       -0.45163017+0.64814802j, -0.31786389+1.22529916j]), array([ 1.79966876-0.51049318j, -0.27366299+0.96182564j,\n",
      "       -0.4522503 +0.64709813j, -0.31634499+1.22653022j]), array([ 1.80183848-0.52222011j, -0.24391372+0.96979694j,\n",
      "       -0.45286965+0.64625205j, -0.31493725+1.2274527j ]), array([ 1.80369025-0.53405156j, -0.21393308+0.97684832j,\n",
      "       -0.45348735+0.64560753j, -0.3136433 +1.22807052j]), array([ 1.80522381-0.54597397j, -0.18374952+0.9829731j ,\n",
      "       -0.45410244+0.64516249j, -0.31246556+1.22838771j]), array([ 1.80643966-0.55797385j, -0.15339165+0.98816547j,\n",
      "       -0.45471387+0.64491502j, -0.31140626+1.22840842j]), array([ 1.80733905-0.57003774j, -0.12288829+0.99242051j,\n",
      "       -0.45532046+0.64486337j, -0.31046744+1.22813687j]), array([ 1.80792399-0.58215222j, -0.09226836+0.99573418j,\n",
      "       -0.45592094+0.6450059j , -0.30965094+1.22757737j]), array([ 1.80819718-0.59430397j, -0.06156091+0.99810333j,\n",
      "       -0.45651397+0.64534114j, -0.3089584 +1.22673432j]), array([ 1.80816202-0.60647975j, -0.03079506+0.99952572j,\n",
      "       -0.45709806+0.64586774j, -0.30839128+1.22561217j]), array([-1.59421652+0.24896098j,  0.99573418-0.09226836j,\n",
      "        0.42261053-0.87425499j,  0.41250032-0.94359802j]), array([-1.59631446+0.24983243j,  0.99242051-0.12288829j,\n",
      "        0.42399394-0.86318828j,  0.4104937 -0.95537111j]), array([-1.5989784 +0.25096427j,  0.98816547-0.15339165j,\n",
      "        0.42530055-0.85233086j,  0.40839429-0.96712281j]), array([-1.6021844 +0.25236434j,  0.9829731 -0.18374952j,\n",
      "        0.42653474-0.84170379j,  0.40620378-0.97882216j]), array([-1.60590435+0.25404146j,  0.97684832-0.21393308j,\n",
      "        0.42770108-0.83132564j,  0.40392483-0.99043906j]), array([-1.6101066 +0.25600508j,  0.96979694-0.24391372j,\n",
      "        0.42880422-0.82121236j,  0.40156096-1.00194465j]), array([-1.61475653+0.25826494j,  0.96182564-0.27366299j,\n",
      "        0.42984883-0.81137739j,  0.39911654-1.01331154j]), array([-1.61981729+0.26083068j,  0.952942  -0.30315267j,\n",
      "        0.43083951-0.80183168j,  0.39659668-1.02451405j]), array([-1.62525033+0.26371154j,  0.94315443-0.3323548j ,\n",
      "        0.43178077-0.7925838j ,  0.39400715-1.03552836j]), array([-1.63101606+0.26691611j,  0.93247223-0.36124167j,\n",
      "        0.43267696-0.78364019j,  0.39135425-1.04633259j]), array([-1.63707435+0.27045207j,  0.92090552-0.38978587j,\n",
      "        0.43353226-0.77500524j,  0.38864474-1.05690684j]), array([-1.64338507+0.27432602j,  0.90846527-0.41796034j,\n",
      "        0.43435068-0.76668157j,  0.3858857 -1.06723318j]), array([-1.64990844+0.27854336j,  0.89516329-0.44573836j,\n",
      "        0.43513602-0.75867025j,  0.38308447-1.07729564j]), array([-1.65660547+0.28310818j,  0.88101219-0.47309356j,\n",
      "        0.43589184-0.75097094j,  0.38024852-1.08708006j]), array([-1.66343819+0.28802326j,  0.8660254 -0.5j       ,\n",
      "        0.43662154-0.74358215j,  0.37738541-1.09657406j]), array([-1.67036993+0.29329j   ,  0.85021714-0.52643216j,\n",
      "        0.43732827-0.73650143j,  0.37450271-1.10576692j]), array([-1.67736548+0.29890849j,  0.83360239-0.55236497j,\n",
      "        0.43801498-0.72972553j,  0.37160791-1.11464942j]), array([-1.68439121+0.30487751j,  0.81619691-0.57777383j,\n",
      "        0.43868439-0.72325053j,  0.36870844-1.12321375j]), array([-1.6914152 +0.31119459j,  0.79801723-0.60263464j,\n",
      "        0.43933905-0.71707206j,  0.36581157-1.13145338j]), array([-1.69840726+0.3178561j ,  0.77908057-0.62692381j,\n",
      "        0.43998129-0.71118535j,  0.36292442-1.13936297j]), array([-1.70533897+0.32485728j,  0.75940492-0.6506183j ,\n",
      "        0.44061323-0.70558538j,  0.36005391-1.14693819j]), array([-1.71218368+0.33219237j,  0.73900892-0.67369564j,\n",
      "        0.44123683-0.70026695j,  0.35720677-1.15417567j]), array([-1.71891651+0.33985464j,  0.71791192-0.69613395j,\n",
      "        0.44185384-0.6952248j ,  0.35438954-1.16107291j]), array([-1.72551427+0.34783649j,  0.69613395-0.71791192j,\n",
      "        0.44246584-0.6904536j ,  0.3516085 -1.16762813j]), array([-1.73195547+0.35612953j,  0.67369564-0.73900892j,\n",
      "        0.44307423-0.6859481j ,  0.34886976-1.17384026j]), array([-1.73822024+0.36472464j,  0.6506183 -0.75940492j,\n",
      "        0.44368025-0.6817031j ,  0.34617917-1.17970882j]), array([-1.7442903 +0.37361208j,  0.62692381-0.77908057j,\n",
      "        0.44428497-0.67771351j,  0.34354238-1.18523388j]), array([-1.75014887+0.38278148j,  0.60263464-0.79801723j,\n",
      "        0.44488931-0.6739744j ,  0.34096482-1.190416j  ]), array([-1.75578064+0.392222j  ,  0.57777383-0.81619691j,\n",
      "        0.44549403-0.67048098j,  0.33845171-1.19525615j]), array([-1.76117169+0.40192232j,  0.55236497-0.83360239j,\n",
      "        0.44609975-0.66722867j,  0.33600804-1.1997557j ]), array([-1.76630945+0.41187069j,  0.52643216-0.85021714j,\n",
      "        0.44670693-0.66421306j,  0.33363861-1.20391638j]), array([-1.77118261+0.42205506j,  0.5       -0.8660254j ,\n",
      "        0.44731592-0.66142994j,  0.331348  -1.20774022j]), array([-1.77578111+0.43246302j,  0.47309356-0.88101219j,\n",
      "        0.44792691-0.65887531j,  0.32914061-1.21122953j]), array([-1.78009606+0.44308193j,  0.44573836-0.89516329j,\n",
      "        0.44853997-0.65654538j,  0.3270206 -1.21438689j]), array([-1.78411968+0.45389891j,  0.41796035-0.90846527j,\n",
      "        0.44915504-0.65443658j,  0.32499196-1.21721508j]), array([-1.78784527+0.4649009j ,  0.38978587-0.92090552j,\n",
      "        0.44977196-0.65254552j,  0.32305847-1.21971713j]), array([-1.79126719+0.4760747j ,  0.36124167-0.93247223j,\n",
      "        0.45039041-0.65086902j,  0.32122374-1.22189622j]), array([-1.79438074+0.48740697j,  0.3323548 -0.94315443j,\n",
      "        0.45100999-0.64940411j,  0.31949115-1.22375572j]), array([-1.7971822 +0.49888429j,  0.30315267-0.952942j  ,\n",
      "        0.45163017-0.64814802j,  0.31786389-1.22529916j]), array([-1.79966876+0.51049318j,  0.27366299-0.96182564j,\n",
      "        0.4522503 -0.64709813j,  0.31634499-1.22653022j]), array([-1.80183848+0.52222011j,  0.24391372-0.96979694j,\n",
      "        0.45286965-0.64625205j,  0.31493725-1.2274527j ]), array([-1.80369025+0.53405156j,  0.21393308-0.97684832j,\n",
      "        0.45348735-0.64560753j,  0.3136433 -1.22807052j]), array([-1.80522381+0.54597397j,  0.18374952-0.9829731j ,\n",
      "        0.45410244-0.64516249j,  0.31246556-1.22838771j]), array([-1.80643966+0.55797385j,  0.15339165-0.98816547j,\n",
      "        0.45471387-0.64491502j,  0.31140626-1.22840842j]), array([-1.80733905+0.57003774j,  0.12288829-0.99242051j,\n",
      "        0.45532046-0.64486337j,  0.31046744-1.22813687j]), array([-1.80792399+0.58215222j,  0.09226836-0.99573418j,\n",
      "        0.45592094-0.6450059j ,  0.30965094-1.22757737j]), array([-1.80819718+0.59430397j,  0.06156091-0.99810333j,\n",
      "        0.45651397-0.64534114j,  0.3089584 -1.22673432j]), array([-1.80816202+0.60647975j,  0.03079506-0.99952572j,\n",
      "        0.45709806-0.64586774j,  0.30839128-1.22561217j]), array([ 2.97468281-0.90583674j,  0.31997636+4.0969564j ,\n",
      "       -0.51951491+0.41320238j, -0.00609405-0.66306211j]), array([ 3.00595413-1.02520362j,  0.59447149+4.2477583j ,\n",
      "       -0.53961873+0.39996404j, -0.01750147-0.66903339j]), array([-2.97468281+0.90583674j, -0.31997636-4.0969564j ,\n",
      "        0.51951491-0.41320238j,  0.00609405+0.66306211j]), array([-3.00595413+1.02520362j, -0.59447149-4.2477583j ,\n",
      "        0.53961873-0.39996404j,  0.01750147+0.66903339j]), array([4.74224394+0.82638704j, 3.63464221+1.90946841j,\n",
      "       0.67560355-0.70336773j, 0.42284652-0.45668955j]), array([4.75607085+0.84208321j, 3.76058264+1.75964913j,\n",
      "       0.68502374-0.71842382j, 0.41700808-0.44864087j]), array([4.77180867+0.85783953j, 3.88411834+1.59888263j,\n",
      "       0.69389015-0.73403637j, 0.4115915 -0.44057058j]), array([4.78950685+0.8734127j , 4.00416958+1.42680888j,\n",
      "       0.70214366-0.75016421j, 0.40659205-0.4324906j ]), array([4.80918603+0.88855684j, 4.11959736+1.24317102j,\n",
      "       0.70973218-0.76675952j, 0.40200188-0.42441308j]), array([-4.74224394-0.82638704j, -3.63464221-1.90946841j,\n",
      "       -0.67560355+0.70336773j, -0.42284652+0.45668955j]), array([-4.75607085-0.84208321j, -3.76058264-1.75964913j,\n",
      "       -0.68502374+0.71842382j, -0.41700808+0.44864087j]), array([-4.77180867-0.85783953j, -3.88411834-1.59888263j,\n",
      "       -0.69389015+0.73403637j, -0.4115915 +0.44057058j]), array([-4.78950685-0.8734127j , -4.00416958-1.42680888j,\n",
      "       -0.70214366+0.75016421j, -0.40659205+0.4324906j ]), array([-4.80918603-0.88855684j, -4.11959736-1.24317102j,\n",
      "       -0.70973218+0.76675952j, -0.40200188+0.42441308j])]\n"
     ]
    }
   ],
   "source": [
    "print(bug_points)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[array([ 1.93085913-0.0248683j , -0.01299917-0.01558794j,\n",
      "       -0.34540145-0.06686628j, -0.33963164-0.09300476j]), array([ 1.92996148-0.02443602j, -0.0134877 -0.01517738j,\n",
      "       -0.34616126-0.06240246j, -0.33847774-0.09724293j]), array([ 1.92880788-0.02388133j, -0.0139674 -0.01475056j,\n",
      "       -0.34686084-0.05791127j, -0.33727177-0.10144445j]), array([ 1.9273987 -0.02320502j, -0.01443771-0.0143075j ,\n",
      "       -0.34749929-0.05339405j, -0.33601486-0.10560835j]), array([ 1.92573442-0.02240809j, -0.01489803-0.01384823j,\n",
      "       -0.34807575-0.04885214j, -0.33470814-0.10973366j]), array([ 1.92381559-0.02149171j, -0.01534774-0.01337281j,\n",
      "       -0.34858939-0.04428694j, -0.33335276-0.1138195j ]), array([ 1.92164284-0.02045723j, -0.01578623-0.01288131j,\n",
      "       -0.34903942-0.03969989j, -0.33194989-0.11786499j]), array([ 1.91921688-0.01930616j, -0.01621286-0.01237383j,\n",
      "       -0.3494251 -0.03509243j, -0.33050068-0.12186931j]), array([ 1.91653851-0.0180402j , -0.016627  -0.01185051j,\n",
      "       -0.34974572-0.03046607j, -0.32900634-0.1258317j ]), array([ 1.91360861-0.01666121j, -0.01702797-0.0113115j ,\n",
      "       -0.3500006 -0.0258223j , -0.32746803-0.12975139j]), array([ 1.91042812-0.01517123j, -0.01741513-0.01075697j,\n",
      "       -0.35018913-0.02116269j, -0.32588696-0.13362771j]), array([ 1.90699808-0.01357246j, -0.01778779-0.01018713j,\n",
      "       -0.35031074-0.01648879j, -0.32426433-0.13745998j]), array([ 1.90331959-0.01186726j, -0.01814527-0.00960222j,\n",
      "       -0.35036488-0.01180221j, -0.32260132-0.1412476j ]), array([ 1.89939382-0.01005817j, -0.0184869 -0.00900251j,\n",
      "       -0.35035109-0.00710456j, -0.32089915-0.14498998j]), array([ 1.89522201-0.00814787j, -0.01881196-0.00838829j,\n",
      "       -0.35026893-0.00239748j, -0.319159  -0.14868661j]), array([ 1.89080549-0.00613919j, -0.01911977-0.00775991j,\n",
      "       -0.35011802+0.00231736j, -0.31738207-0.15233698j]), array([ 1.88614564-0.00403515j, -0.01940963-0.00711773j,\n",
      "       -0.34989804+0.0070383j , -0.31556955-0.15594063j]), array([ 1.8812439 -0.00183887j, -0.01968084-0.00646215j,\n",
      "       -0.34960872+0.01176363j, -0.31372262-0.15949717j]), array([ 1.87610179+0.00044635j, -0.0199327 -0.00579361j,\n",
      "       -0.34924984+0.01649166j, -0.31184246-0.16300621j]), array([ 1.87072087+0.00281709j, -0.02016452-0.00511259j,\n",
      "       -0.34882124+0.02122065j, -0.30993024-0.16646743j]), array([ 1.86510279+0.00526979j, -0.0203756 -0.0044196j ,\n",
      "       -0.34832283+0.0259489j , -0.30798711-0.16988052j]), array([ 1.85924921+0.00780076j, -0.02056527-0.0037152j ,\n",
      "       -0.34775454+0.03067465j, -0.30601421-0.17324525j]), array([ 1.8531619 +0.01040617j, -0.02073286-0.00299999j,\n",
      "       -0.34711641+0.03539617j, -0.30401268-0.17656138j]), array([ 1.84684264+0.01308209j, -0.02087769-0.00227458j,\n",
      "       -0.34640851+0.04011171j, -0.30198364-0.17982875j]), array([ 1.84029327+0.01582446j, -0.02099913-0.00153966j,\n",
      "       -0.34563097+0.04481954j, -0.29992818-0.18304721j]), array([ 1.83351569+0.01862914j, -0.02109655-0.00079594j,\n",
      "       -0.34478399+0.04951791j, -0.29784738-0.18621665j]), array([ 1.82651184+2.14918539e-02j, -0.02116933-4.41695836e-05j,\n",
      "       -0.34386782+5.42050901e-02j, -0.29574233-1.89337019e-01j]), array([ 1.81928371+0.02440825j, -0.02121688+0.00071486j,\n",
      "       -0.34288279+0.05887935j, -0.29361405-0.19240828j]), array([ 1.8118333 +0.02737388j, -0.02123864+0.0014803j ,\n",
      "       -0.34182928+0.06353896j, -0.29146359-0.19543042j]), array([ 1.80416269+0.03038422j, -0.02123408+0.0022513j ,\n",
      "       -0.34070772+0.06818224j, -0.28929194-0.1984035j ]), array([ 1.79627398+0.03343468j, -0.02120268+0.00302694j,\n",
      "       -0.33951862+0.07280747j, -0.28710009-0.20132759j]), array([ 1.78816931+0.03652057j, -0.02114396+0.00380627j,\n",
      "       -0.33826253+0.07741301j, -0.28488901-0.20420278j]), array([ 1.77985085+0.03963719j, -0.0210575 +0.00458831j,\n",
      "       -0.33694009+0.08199719j, -0.28265964-0.20702921j]), array([ 1.77132079+0.04277976j, -0.02094288+0.00537203j,\n",
      "       -0.33555196+0.0865584j , -0.28041289-0.20980706j]), array([ 1.76258139+0.04594346j, -0.02079974+0.00615639j,\n",
      "       -0.33409888+0.09109502j, -0.27814964-0.21253653j]), array([ 1.7536349 +0.04912344j, -0.02062777+0.00694029j,\n",
      "       -0.33258166+0.0956055j , -0.27587078-0.21521783j]), array([ 1.74448362+0.05231483j, -0.02042669+0.00772262j,\n",
      "       -0.33100112+0.10008829j, -0.27357714-0.21785124j]), array([ 1.73512986+0.05551275j, -0.02019627+0.00850223j,\n",
      "       -0.32935818+0.10454189j, -0.27126954-0.22043703j]), array([ 1.72557598+0.0587123j , -0.01993635+0.00927796j,\n",
      "       -0.32765379+0.10896484j, -0.26894876-0.22297553j]), array([ 1.71582436+0.06190858j, -0.01964681+0.01004861j,\n",
      "       -0.32588894+0.11335569j, -0.26661557-0.22546707j]), array([ 1.70587738+0.06509672j, -0.01932756+0.01081297j,\n",
      "       -0.32406469+0.11771307j, -0.26427071-0.22791201j]), array([ 1.69573747+0.06827186j, -0.01897862+0.0115698j ,\n",
      "       -0.32218212+0.12203563j, -0.26191489-0.23031076j]), array([ 1.68540707+0.07142917j, -0.01860002+0.01231787j,\n",
      "       -0.32024239+0.12632208j, -0.25954879-0.23266371j]), array([ 1.67488866+0.07456387j, -0.01819187+0.01305592j,\n",
      "       -0.31824666+0.13057115j, -0.25717308-0.23497132j]), array([ 1.66418472+0.07767122j, -0.01775435+0.01378267j,\n",
      "       -0.31619614+0.13478164j, -0.25478837-0.23723403j]), array([ 1.65329778+0.08074653j, -0.01728768+0.01449687j,\n",
      "       -0.31409209+0.13895241j, -0.25239529-0.23945232j]), array([ 1.64223036+0.08378521j, -0.01679217+0.01519725j,\n",
      "       -0.31193579+0.14308234j, -0.24999441-0.2416267j ]), array([ 1.63098503+0.08678271j, -0.01626817+0.01588253j,\n",
      "       -0.30972854+0.14717039j, -0.24758628-0.24375767j]), array([ 0.88700557+0.12417953j,  0.02562143+0.01126431j,\n",
      "       -0.1217967 -0.30890417j, -0.16060442+0.29047635j]), array([ 0.9036089 +0.1258044j ,  0.02581761+0.01053494j,\n",
      "       -0.12427529-0.30821062j, -0.16374613+0.28887962j]), array([ 0.92017332+0.12735897j,  0.02599136+0.00980613j,\n",
      "       -0.12675339-0.30750094j, -0.16689242+0.28723931j]), array([ 0.93669684+0.12884049j,  0.02614298+0.00907861j,\n",
      "       -0.12923105-0.30677483j, -0.17004276+0.28555499j]), array([ 0.95317739+0.13024626j,  0.02627282+0.00835303j,\n",
      "       -0.13170831-0.30603198j, -0.17319662+0.2838262j ]), array([ 0.96961282+0.13157362j,  0.02638123+0.00763006j,\n",
      "       -0.13418522-0.30527207j, -0.17635343+0.28205253j]), array([ 0.98600096+0.13282j   ,  0.02646858+0.00691032j,\n",
      "       -0.13666183-0.30449476j, -0.17951259+0.28023354j]), array([ 1.00233954+0.13398285j,  0.02653527+0.0061944j ,\n",
      "       -0.13913818-0.30369971j, -0.18267349+0.27836882j]), array([ 1.01862625+0.13505972j,  0.02658169+0.00548286j,\n",
      "       -0.14161432-0.30288655j, -0.1858355 +0.27645796j]), array([ 1.03485871+0.13604824j,  0.02660827+0.00477624j,\n",
      "       -0.14409027-0.30205492j, -0.18899796+0.27450057j]), array([ 1.0510345 +0.13694611j,  0.02661542+0.00407505j,\n",
      "       -0.14656609-0.30120442j, -0.19216018+0.27249624j]), array([ 1.06715112+0.13775116j,  0.02660359+0.00337976j,\n",
      "       -0.1490418 -0.30033466j, -0.19532146+0.27044461j]), array([ 1.08320604+0.13846129j,  0.0265732 +0.00269082j,\n",
      "       -0.15151742-0.29944523j, -0.19848106+0.26834528j]), array([ 1.09919667+0.13907452j,  0.02652472+0.00200866j,\n",
      "       -0.153993  -0.29853569j, -0.20163824+0.26619791j]), array([ 1.11512037+0.13958901j,  0.02645858+0.00133367j,\n",
      "       -0.15646855-0.29760561j, -0.2047922 +0.26400213j]), array([ 1.13097447+0.14000302j,  0.02637524+0.00066622j,\n",
      "       -0.15894409-0.29665454j, -0.20794215+0.2617576j ]), array([ 1.14675625+1.40314957e-01j,  0.02627515+6.65390715e-06j,\n",
      "       -0.16141963-2.95682016e-01j, -0.21108725+2.59463993e-01j]), array([ 1.16246293+0.14052335j,  0.02615875-0.00064472j,\n",
      "       -0.16389519-0.29468756j, -0.21422664+0.25712098j]), array([ 1.17809172+0.14062689j,  0.02602651-0.0012876j ,\n",
      "       -0.16637077-0.29367067j, -0.21735943+0.25472827j]), array([ 1.1936398 +0.14062441j,  0.02587886-0.00192173j,\n",
      "       -0.16884637-0.29263086j, -0.22048473+0.25228555j]), array([ 1.2091043 +0.1405149j ,  0.02571624-0.00254686j,\n",
      "       -0.17132199-0.2915676j , -0.22360158+0.24979255j]), array([ 1.22448232+0.14029751j,  0.0255391 -0.00316276j,\n",
      "       -0.1737976 -0.29048038j, -0.22670902+0.24724901j]), array([ 1.23977096+0.13997156j,  0.02534785-0.00376923j,\n",
      "       -0.17627319-0.28936865j, -0.22980606+0.24465468j]), array([ 1.25496729+0.13953653j,  0.02514293-0.0043661j ,\n",
      "       -0.17874874-0.28823186j, -0.23289167+0.24200932j]), array([ 1.27006835+0.13899211j,  0.02492474-0.00495319j,\n",
      "       -0.18122421-0.28706946j, -0.23596481+0.23931274j]), array([ 1.28507118+0.13833811j,  0.0246937 -0.00553035j,\n",
      "       -0.18369955-0.28588086j, -0.23902441+0.23656475j]), array([ 1.2999728 +0.13757457j,  0.0244502 -0.00609747j,\n",
      "       -0.18617471-0.2846655j , -0.24206935+0.23376517j]), array([ 1.31477023+0.13670169j,  0.02419463-0.00665443j,\n",
      "       -0.18864963-0.28342277j, -0.24509852+0.23091386j]), array([ 1.32946048+0.13571987j,  0.02392736-0.00720113j,\n",
      "       -0.19112423-0.28215209j, -0.24811074+0.22801071j]), array([ 1.34404054+0.13462969j,  0.02364876-0.00773748j,\n",
      "       -0.19359845-0.28085283j, -0.25110485+0.22505562j]), array([ 1.35850744+0.13343192j,  0.02335919-0.0082634j ,\n",
      "       -0.19607217-0.27952439j, -0.25407962+0.22204853j]), array([ 1.37285819+0.13212753j,  0.02305899-0.00877885j,\n",
      "       -0.19854529-0.27816615j, -0.25703383+0.21898941j]), array([ 1.38708979+0.13071768j,  0.0227485 -0.00928377j,\n",
      "       -0.20101771-0.27677747j, -0.25996621+0.21587826j]), array([ 1.40119927+0.12920371j,  0.02242804-0.00977811j,\n",
      "       -0.20348927-0.27535772j, -0.26287548+0.21271511j]), array([ 1.41518367+0.12758715j,  0.02209792-0.01026185j,\n",
      "       -0.20595984-0.27390626j, -0.26576034+0.20950003j]), array([ 1.42904003+0.12586975j,  0.02175844-0.01073496j,\n",
      "       -0.20842926-0.27242245j, -0.26861947+0.20623313j]), array([ 1.44276541+0.12405342j,  0.0214099 -0.01119741j,\n",
      "       -0.21089736-0.27090564j, -0.27145151+0.20291454j]), array([ 1.45635689+0.12214025j,  0.02105256-0.01164921j,\n",
      "       -0.21336393-0.26935518j, -0.2742551 +0.19954446j]), array([ 1.46981155+0.12013256j,  0.02068671-0.01209033j,\n",
      "       -0.21582878-0.26777044j, -0.27702886+0.19612311j]), array([ 1.4831265 +0.11803279j,  0.0203126 -0.01252077j,\n",
      "       -0.21829167-0.26615075j, -0.2797714 +0.19265077j]), array([ 1.49629888+0.11584361j,  0.01993046-0.01294054j,\n",
      "       -0.22075238-0.26449547j, -0.28248131+0.18912775j]), array([ 1.50932583+0.11356783j,  0.01954055-0.01334963j,\n",
      "       -0.22321063-0.26280396j, -0.28515717+0.18555442j]), array([ 1.52220452+0.11120845j,  0.01914309-0.01374805j,\n",
      "       -0.22566614-0.26107557j, -0.28779756+0.18193119j]), array([ 1.53493214+0.10876862j,  0.0187383 -0.0141358j ,\n",
      "       -0.22811862-0.25930966j, -0.29040104+0.17825852j]), array([ 1.54750591+0.10625167j,  0.01832639-0.01451288j,\n",
      "       -0.23056775-0.25750561j, -0.29296617+0.17453693j]), array([ 1.55992306+0.10366106j,  0.01790756-0.0148793j ,\n",
      "       -0.23301318-0.25566278j, -0.29549153+0.170767j  ]), array([ 1.57218085+0.10100041j,  0.017482  -0.01523506j,\n",
      "       -0.23545455-0.25378057j, -0.29797567+0.16694932j]), array([ 1.58427656+0.09827349j,  0.0170499 -0.01558015j,\n",
      "       -0.23789149-0.25185835j, -0.30041718+0.16308459j]), array([ 1.59620749+0.09548418j,  0.01661143-0.01591459j,\n",
      "       -0.24032357-0.24989553j, -0.30281462+0.15917352j]), array([ 1.60797098+0.0926365j ,  0.01616678-0.01623837j,\n",
      "       -0.24275037-0.24789153j, -0.30516659+0.1552169j ])]\n"
     ]
    }
   ],
   "source": [
    "print(bug_points_selected)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "char_poly_data = sio.loadmat(\"data/GBZ_char_poly_2.mat\")\n",
    "coeffs = char_poly_data['coeffs'].flatten()\n",
    "orders = char_poly_data['orders'].flatten()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "char_poly = csolver.CLaurant(3)\n",
    "char_poly.set_Laurant_by_terms(csolver.CScalarVec(coeffs), csolver.CIntVec(orders))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "winding_solver = csolver.GBZConditionChecker2D(bug_points[0][:3], bug_params[0][1], char_poly, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(-0.6506183002042422+0.759404916654707j)\n"
     ]
    }
   ],
   "source": [
    "print(bug_params_selected[0][1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 1.93085913-0.0248683j  -0.34540145-0.06686628j]\n"
     ]
    }
   ],
   "source": [
    "print(bug_points_selected[0][[0,2]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "vals, params = winding_solver.eval_param_path(bug_points[0][1] * np.exp(1j*np.linspace(0, 2 * np.pi, 200)), \n",
    "                                              bug_points[0][[0,2]], theta_detour=1e-2*np.pi, N_points_loop = 200, N_points_detour = 50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f2e2073f730>]"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.plot(np.array(vals).real, np.array(vals).imag, '.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[array([ 1.93085913-0.0248683j , -0.34540145-0.06686628j]),\n",
       " array([ 1.93150364-0.02518448j, -0.34461191-0.07135412j]),\n",
       " array([ 1.93189051-0.02536997j, -0.34374188-0.07583582j]),\n",
       " array([ 1.93201358-0.02542484j, -0.34279101-0.08030915j]),\n",
       " array([ 1.93186663-0.02534948j, -0.34175899-0.08477183j]),\n",
       " array([ 1.93144334-0.02514461j, -0.34064563-0.0892215j ]),\n",
       " array([ 1.93073732-0.02481128j, -0.33945082-0.09365581j]),\n",
       " array([ 1.92974214-0.02435091j, -0.33817456-0.09807233j]),\n",
       " array([ 1.92845132-0.0237653j , -0.33681694-0.10246862j]),\n",
       " array([ 1.92685838-0.02305663j, -0.33537816-0.1068422j ]),\n",
       " array([ 1.92495685-0.0222275j , -0.33385853-0.11119059j]),\n",
       " array([ 1.92274027-0.02128091j, -0.33225848-0.11551126j]),\n",
       " array([ 1.92020227-0.02022031j, -0.33057854-0.11980171j]),\n",
       " array([ 1.91733655-0.01904955j, -0.32881938-0.12405939j]),\n",
       " array([ 1.91413694-0.01777298j, -0.32698179-0.1282818j ]),\n",
       " array([ 1.9105974 -0.01639535j, -0.32506665-0.13246643j]),\n",
       " array([ 1.90671209-0.01492191j, -0.32307502-0.13661077j]),\n",
       " array([ 1.90247536-0.01335835j, -0.32100804-0.14071237j]),\n",
       " array([ 1.89788185-0.01171081j, -0.318867  -0.14476879j]),\n",
       " array([ 1.89292646-0.0099859j , -0.31665332-0.14877766j]),\n",
       " array([ 1.88760442-0.00819068j, -0.31436854-0.15273663j]),\n",
       " array([ 1.88191135-0.00633263j, -0.31201431-0.15664343j]),\n",
       " array([ 1.87584324-0.00441966j, -0.30959243-0.16049587j]),\n",
       " array([ 1.86939657-0.00246008j, -0.3071048 -0.16429182j]),\n",
       " array([ 1.86256826-0.0004626j , -0.30455343-0.16802925j]),\n",
       " array([ 1.85535578+0.00156374j, -0.30194046-0.17170622j]),\n",
       " array([ 1.84775716+0.00360957j, -0.29926813-0.17532089j]),\n",
       " array([ 1.839771  +0.00566521j, -0.29653876-0.17887155j]),\n",
       " array([ 1.83139657+0.00772076j, -0.29375479-0.1823566j ]),\n",
       " array([ 1.82263374+0.0097661j , -0.29091871-0.18577458j]),\n",
       " array([ 1.81348312+0.01179094j, -0.28803312-0.18912414j]),\n",
       " array([ 1.80394598+0.01378489j, -0.28510066-0.1924041j ]),\n",
       " array([ 1.79402435+0.01573752j, -0.28212404-0.19561341j]),\n",
       " array([ 1.78372097+0.01763838j, -0.27910601-0.19875116j]),\n",
       " array([ 1.77303933+0.01947708j, -0.27604934-0.20181663j]),\n",
       " array([ 1.76198366+0.02124338j, -0.27295686-0.20480922j]),\n",
       " array([ 1.75055894+0.02292719j, -0.26983138-0.2077285j ]),\n",
       " array([ 1.73877087+0.02451867j, -0.26667571-0.21057421j]),\n",
       " array([ 1.72662585+0.0260083j , -0.26349267-0.21334622j]),\n",
       " array([ 1.71413097+0.02738691j, -0.26028504-0.21604457j]),\n",
       " array([ 1.701294  +0.02864576j, -0.25705557-0.21866946j]),\n",
       " array([ 1.68812329+0.02977657j, -0.25380696-0.22122123j]),\n",
       " array([ 1.67462778+0.03077159j, -0.25054185-0.22370037j]),\n",
       " array([ 1.66081696+0.03162366j, -0.24726285-0.22610748j]),\n",
       " array([ 1.64670076+0.03232619j, -0.24397243-0.22844332j]),\n",
       " array([ 1.63228955+0.03287327j, -0.24067304-0.23070877j]),\n",
       " array([ 1.61759406+0.03325964j, -0.237367  -0.23290481j]),\n",
       " array([ 1.60262533+0.03348074j, -0.23405655-0.23503254j]),\n",
       " array([ 1.58739462+0.03353272j, -0.23074382-0.23709313j]),\n",
       " array([ 1.57191337+0.03341246j, -0.22743082-0.23908788j]),\n",
       " array([ 1.55619316+0.03311752j, -0.22411947-0.24101812j]),\n",
       " array([ 1.54024558+0.03264621j, -0.22081157-0.24288528j]),\n",
       " array([ 1.52408225+0.03199753j, -0.21750879-0.24469084j]),\n",
       " array([ 1.50771469+0.03117116j, -0.21421269-0.24643632j]),\n",
       " array([ 1.49115432+0.03016745j, -0.21092472-0.24812328j]),\n",
       " array([ 1.4744124+0.0289874j , -0.2076462-0.24975331j]),\n",
       " array([ 1.45749996+0.02763258j, -0.20437836-0.25132803j]),\n",
       " array([ 1.44042778+0.02610517j, -0.20112229-0.25284905j]),\n",
       " array([ 1.42320635+0.02440786j, -0.19787897-0.25431801j]),\n",
       " array([ 1.40584582+0.02254386j, -0.19464931-0.25573654j]),\n",
       " array([ 1.38835601+0.02051681j, -0.19143408-0.25710623j]),\n",
       " array([ 1.37074636+0.01833079j, -0.18823396-0.25842871j]),\n",
       " array([ 1.3530259 +0.01599023j, -0.18504956-0.25970554j]),\n",
       " array([ 1.33520327+0.0134999j , -0.18188138-0.26093829j]),\n",
       " array([ 1.3172867 +0.01086488j, -0.17872984-0.26212847j]),\n",
       " array([ 1.29928398+0.00809047j, -0.17559527-0.26327759j]),\n",
       " array([ 1.2812025 +0.0051822j , -0.17247796-0.26438708j]),\n",
       " array([ 1.2630492+0.00214577j, -0.1693781-0.26545838j]),\n",
       " array([ 1.24483063-0.00101298j, -0.16629583-0.26649286j]),\n",
       " array([ 1.22655291-0.00428809j, -0.16323124-0.26749186j]),\n",
       " array([ 1.20822177-0.00767355j, -0.16018433-0.26845665j]),\n",
       " array([ 1.18984255-0.01116327j, -0.15715509-0.26938849j]),\n",
       " array([ 1.17142021-0.01475117j, -0.15414346-0.27028859j]),\n",
       " array([ 1.15295933-0.01843116j, -0.1511493 -0.27115809j]),\n",
       " array([ 1.13446416-0.02219716j, -0.14817249-0.27199811j]),\n",
       " array([ 1.11593861-0.02604317j, -0.14521282-0.2728097j ]),\n",
       " array([ 1.09738627-0.02996322j, -0.14227009-0.27359391j]),\n",
       " array([ 1.07881042-0.03395143j, -0.13934406-0.27435169j]),\n",
       " array([ 1.06021406-0.03800202j, -0.13643446-0.27508399j]),\n",
       " array([ 1.04159994-0.04210931j, -0.13354101-0.2757917j ]),\n",
       " array([ 1.02297052-0.04626773j, -0.13066339-0.27647568j]),\n",
       " array([ 1.00432805-0.05047185j, -0.12780129-0.27713672j]),\n",
       " array([ 0.98567456-0.05471635j, -0.12495436-0.27777561j]),\n",
       " array([ 0.96701185-0.05899607j, -0.12212226-0.27839307j]),\n",
       " array([ 0.94834156-0.06330598j, -0.11930463-0.27898982j]),\n",
       " array([ 0.92966513-0.06764121j, -0.11650109-0.27956651j]),\n",
       " array([ 0.91098386-0.07199701j, -0.11371128-0.28012376j]),\n",
       " array([ 0.89229888-0.07636883j, -0.1109348 -0.28066218j]),\n",
       " array([ 0.87361119-0.08075223j, -0.10817127-0.28118233j]),\n",
       " array([ 0.85492168-0.08514295j, -0.1054203 -0.28168474j]),\n",
       " array([ 0.83623111-0.08953687j, -0.10268149-0.28216991j]),\n",
       " array([ 0.81754015-0.09393003j, -0.09995446-0.28263833j]),\n",
       " array([ 0.79884937-0.09831863j, -0.09723879-0.28309043j]),\n",
       " array([ 0.78015927-0.102699j  , -0.0945341 -0.28352664j]),\n",
       " array([ 0.76147027-0.10706765j, -0.09183998-0.28394735j]),\n",
       " array([ 0.74278272-0.1114212j , -0.08915605-0.28435294j]),\n",
       " array([ 0.72409692-0.11575644j, -0.08648191-0.28474375j]),\n",
       " array([ 0.70541314-0.1200703j , -0.08381716-0.28512011j]),\n",
       " array([ 0.68673159-0.12435983j, -0.08116141-0.28548232j]),\n",
       " array([ 0.66805244-0.12862225j, -0.07851429-0.28583067j]),\n",
       " array([ 0.64937586-0.13285487j, -0.0758754 -0.28616541j]),\n",
       " array([ 1.105232  +0.25989706j, -0.18713433+0.24306245j]),\n",
       " array([ 1.11948124+0.25796342j, -0.18978911+0.24153091j]),\n",
       " array([ 1.13362662+0.25596885j, -0.19243939+0.23996977j]),\n",
       " array([ 1.14766744+0.2539137j , -0.19508488+0.23837883j]),\n",
       " array([ 1.16160303+0.25179832j, -0.19772528+0.23675789j]),\n",
       " array([ 1.17543273+0.2496231j , -0.20036027+0.23510675j]),\n",
       " array([ 1.18915594+0.24738845j, -0.20298956+0.2334252j ]),\n",
       " array([ 1.20277205+0.24509483j, -0.20561282+0.23171303j]),\n",
       " array([ 1.21628049+0.24274272j, -0.20822973+0.22997003j]),\n",
       " array([ 1.22968072+0.24033262j, -0.21083996+0.22819601j]),\n",
       " array([ 1.24297223+0.2378651j , -0.21344319+0.22639076j]),\n",
       " array([ 1.2561545 +0.23534074j, -0.21603907+0.22455407j]),\n",
       " array([ 1.26922707+0.23276014j, -0.21862725+0.22268573j]),\n",
       " array([ 1.28218948+0.23012396j, -0.2212074 +0.22078553j]),\n",
       " array([ 1.2950413 +0.22743291j, -0.22377913+0.21885327j]),\n",
       " array([ 1.30778213+0.22468769j, -0.2263421 +0.21688874j]),\n",
       " array([ 1.32041156+0.22188909j, -0.22889592+0.21489172j]),\n",
       " array([ 1.33292922+0.2190379j , -0.23144021+0.21286201j]),\n",
       " array([ 1.34533477+0.21613497j, -0.23397458+0.2107994j ]),\n",
       " array([ 1.35762785+0.21318119j, -0.23649863+0.20870367j]),\n",
       " array([ 1.36980816+0.21017749j, -0.23901195+0.20657462j]),\n",
       " array([ 1.38187538+0.20712484j, -0.24151412+0.20441204j]),\n",
       " array([ 1.39382923+0.20402424j, -0.24400472+0.20221571j]),\n",
       " array([ 1.40566942+0.20087675j, -0.2464833 +0.19998542j]),\n",
       " array([ 1.4173957 +0.19768348j, -0.24894942+0.19772096j]),\n",
       " array([ 1.42900779+0.19444556j, -0.25140262+0.19542213j]),\n",
       " array([ 1.44050547+0.19116419j, -0.25384242+0.19308871j]),\n",
       " array([ 1.4518885 +0.1878406j , -0.25626835+0.19072051j]),\n",
       " array([ 1.46315664+0.18447606j, -0.25867989+0.1883173j ]),\n",
       " array([ 1.47430968+0.18107192j, -0.26107656+0.1858789j ]),\n",
       " array([ 1.48534741+0.17762953j, -0.26345782+0.18340509j]),\n",
       " array([ 1.49626961+0.17415033j, -0.26582314+0.18089568j]),\n",
       " array([ 1.50707608+0.17063579j, -0.26817198+0.17835048j]),\n",
       " array([ 1.51776661+0.16708742j, -0.27050376+0.17576928j]),\n",
       " array([ 1.52834099+0.16350679j, -0.27281792+0.17315191j]),\n",
       " array([ 1.53879902+0.15989553j, -0.27511386+0.17049818j]),\n",
       " array([ 1.54914048+0.1562553j , -0.27739097+0.16780792j]),\n",
       " array([ 1.55936516+0.15258783j, -0.27964863+0.16508094j]),\n",
       " array([ 1.56947284+0.14889488j, -0.2818862 +0.16231708j]),\n",
       " array([ 1.57946329+0.14517828j, -0.28410303+0.15951618j]),\n",
       " array([ 1.58933627+0.1414399j , -0.28629845+0.15667809j]),\n",
       " array([ 1.59909152+0.13768167j, -0.28847176+0.15380266j]),\n",
       " array([ 1.60872878+0.13390557j, -0.29062226+0.15088975j]),\n",
       " array([ 1.61824778+0.13011362j, -0.29274923+0.14793925j]),\n",
       " array([ 1.6276482 +0.12630792j, -0.29485193+0.14495103j]),\n",
       " array([ 1.63692974+0.1224906j , -0.2969296 +0.14192499j]),\n",
       " array([ 1.64609206+0.11866384j, -0.29898146+0.13886103j]),\n",
       " array([ 1.65513478+0.1148299j , -0.30100672+0.13575908j]),\n",
       " array([ 1.66405752+0.11099106j, -0.30300456+0.13261906j]),\n",
       " array([ 1.67285985+0.10714967j, -0.30497416+0.12944093j]),\n",
       " array([ 1.68154133+0.10330813j, -0.30691467+0.12622464j]),\n",
       " array([ 1.69010146+0.0994689j , -0.30882521+0.12297017j]),\n",
       " array([ 1.69853972+0.09563448j, -0.3107049 +0.11967753j]),\n",
       " array([ 1.70685556+0.09180743j, -0.31255283+0.11634672j]),\n",
       " array([ 1.71504835+0.08799034j, -0.31436808+0.11297778j]),\n",
       " array([ 1.72311744+0.08418588j, -0.3161497 +0.10957077j]),\n",
       " array([ 1.73106214+0.08039675j, -0.31789674+0.10612576j]),\n",
       " array([ 1.73888169+0.0766257j , -0.31960821+0.10264284j]),\n",
       " array([ 1.74657529+0.07287554j, -0.32128313+0.09912215j]),\n",
       " array([ 1.75414205+0.06914911j, -0.32292046+0.09556384j]),\n",
       " array([ 1.76158106+0.06544931j, -0.32451918+0.09196807j]),\n",
       " array([ 1.76889131+0.06177906j, -0.32607824+0.08833505j]),\n",
       " array([ 1.77607174+0.05814134j, -0.32759658+0.08466501j]),\n",
       " array([ 1.78312122+0.05453918j, -0.3290731 +0.08095822j]),\n",
       " array([ 1.79003852+0.05097562j, -0.33050672+0.07721496j]),\n",
       " array([ 1.79682235+0.04745375j, -0.33189632+0.07343557j]),\n",
       " array([ 1.80347134+0.04397669j, -0.33324077+0.0696204j ]),\n",
       " array([ 1.809984  +0.0405476j , -0.33453893+0.06576986j]),\n",
       " array([ 1.81635879+0.03716966j, -0.33578965+0.06188437j]),\n",
       " array([ 1.82259404+0.03384606j, -0.33699176+0.05796441j]),\n",
       " array([ 1.828688  +0.03058004j, -0.33814408+0.0540105j ]),\n",
       " array([ 1.8346388 +0.02737482j, -0.33924543+0.05002318j]),\n",
       " array([ 1.84044447+0.02423367j, -0.34029462+0.04600305j]),\n",
       " array([ 1.84610293+0.02115984j, -0.34129045+0.04195076j]),\n",
       " array([ 1.85161197+0.0181566j , -0.34223169+0.03786699j]),\n",
       " array([ 1.85696927+0.01522721j, -0.34311716+0.03375248j]),\n",
       " array([ 1.86217238+0.01237491j, -0.34394562+0.02960801j]),\n",
       " array([ 1.86721872+0.00960296j, -0.34471586+0.02543441j]),\n",
       " array([ 1.87210558+0.00691458j, -0.34542668+0.02123258j]),\n",
       " array([ 1.87683011+0.00431295j, -0.34607685+0.01700344j]),\n",
       " array([ 1.88138931+0.00180124j, -0.34666517+0.012748j  ]),\n",
       " array([ 1.88578006-0.00061742j, -0.34719044+0.00846729j]),\n",
       " array([ 1.88999906-0.00293998j, -0.34765147+0.00416242j]),\n",
       " array([ 1.89404289-0.00516342j, -0.34804708-0.00016544j]),\n",
       " array([ 1.89790796-0.00728479j, -0.34837611-0.00451508j]),\n",
       " array([ 1.90159052-0.00930122j, -0.34863742-0.0088852j ]),\n",
       " array([ 1.90508666-0.01120993j, -0.34882987-0.01327448j]),\n",
       " array([ 1.90839233-0.01300823j, -0.34895236-0.01768151j]),\n",
       " array([ 1.9115033 -0.01469355j, -0.34900382-0.02210482j]),\n",
       " array([ 1.91441517-0.01626343j, -0.3489832 -0.02654289j]),\n",
       " array([ 1.9171234-0.01771555j, -0.3488895-0.03099412j]),\n",
       " array([ 1.91962328-0.01904773j, -0.34872173-0.03545686j]),\n",
       " array([ 1.92190992-0.02025794j, -0.34847897-0.03992939j]),\n",
       " array([ 1.9239783 -0.02134434j, -0.34816033-0.04440994j]),\n",
       " array([ 1.92582321-0.02230526j, -0.34776496-0.04889666j]),\n",
       " array([ 1.92743932-0.02313925j, -0.34729208-0.05338765j]),\n",
       " array([ 1.92882113-0.02384505j, -0.34674097-0.05788094j]),\n",
       " array([ 1.92996299-0.02442166j, -0.34611096-0.06237451j]),\n",
       " array([ 1.93085913-0.0248683j , -0.34540145-0.06686628j])]"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "params"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f2e21601490>]"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.plot(np.array(params)[:,1].real, np.array(params)[:,1].imag, '.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [],
   "source": [
    "GBZ_points = bug_points_selected[0]\n",
    "GBZ_params = bug_params_selected[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [],
   "source": [
    "winding_solver = csolver.GBZConditionChecker2D(GBZ_points[:3], GBZ_params[1], char_poly, 1)\n",
    "vals, params = winding_solver.eval_param_path(GBZ_points[1] * np.exp(1j*np.linspace(0, 2 * np.pi, 500)), \n",
    "                                              GBZ_points[[0,2]], theta_detour=1e-2*np.pi, N_points_loop = 200, N_points_detour = 50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "GBZ_points = normal_points_selected[0]\n",
    "GBZ_params = normal_params_selected[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "winding_solver = csolver.GBZConditionChecker2D(GBZ_points[:3], GBZ_params[1], char_poly, 1)\n",
    "vals, params = winding_solver.eval_param_path(GBZ_points[1] * np.exp(1j*np.linspace(0, 2 * np.pi, 500)), \n",
    "                                              GBZ_points[[0,2]], theta_detour=1e-2*np.pi, N_points_loop = 200, N_points_detour = 50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 1.93085913-0.0248683j  -0.01299917-0.01558794j -0.34540145-0.06686628j\n",
      " -0.33963164-0.09300476j]\n",
      "[ 0.9829731+0.18374952j -0.6506183+0.75940492j]\n",
      "[ 1.93085913-0.0248683j  -0.34540145-0.06686628j]\n",
      "(1.2163294682059044e-10+2.0061352922270213e-10j)\n"
     ]
    }
   ],
   "source": [
    "print(GBZ_points)\n",
    "print(GBZ_params)\n",
    "print(params[0])\n",
    "print(vals[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f2e1e86ee80>]"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.plot(np.array(vals).real, np.array(vals).imag,'.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(500, 2)\n"
     ]
    }
   ],
   "source": [
    "print(np.array(params).shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f2e1e65d310>]"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.plot(np.array(params)[:,1].real, np.array(params)[:,1].imag, '.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy import linalg as la"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "print(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.667752703920124e-11\n"
     ]
    }
   ],
   "source": [
    "print(la.norm(params[0] - params[-1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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      "0.0020664972271547213\n",
      "1.9519824747196723\n",
      "0.002048669302249118\n",
      "1.9529084813411142\n",
      "0.0020312713397620382\n",
      "1.953800073868001\n",
      "0.002014333192522237\n",
      "1.9546569135505978\n",
      "0.0019978857269403647\n",
      "1.9554786583034776\n",
      "0.0019819607878882517\n",
      "1.9562649627539057\n",
      "0.0019665911526581237\n",
      "1.957015478293582\n",
      "0.0019518104730770435\n",
      "1.9577298531338263\n",
      "0.0019376532048170796\n",
      "1.9584077323643483\n",
      "0.001924154523194042\n",
      "1.9590487580156368\n",
      "0.0019113502246886245\n",
      "1.9596525691251296\n",
      "0.0018992766137889937\n",
      "1.9602188018071858\n",
      "0.0018879703748087742\n",
      "1.9607470893270509\n",
      "0.0018774684287228818\n",
      "1.961237062178816\n",
      "0.0018678077752920601\n",
      "1.9616883481675442\n",
      "0.001859025321150936\n",
      "1.9621005724956202\n",
      "0.0018511576948764417\n",
      "1.9624733578534463\n"
     ]
    }
   ],
   "source": [
    "for j in range(len(params) -1 ):\n",
    "    print(la.norm(params[j+1] - params[j]))\n",
    "    print(la.norm(params[j]))"
   ]
  }
 ],
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